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133143142500 = 223454657497
BaseRepresentation
bin111101111111111110…
…0110010000001100100
3110201122222022102120000
41323333330302001210
54140134121030000
6141055355341300
712422261016054
oct1737774620144
9421588272500
10133143142500
1151513918665
1221979451830
13c72b126874
146630ad3564
1536e3c80000
hex1efff32064

133143142500 has 150 divisors (see below), whose sum is σ = 434939529486. Its totient is φ = 35504784000.

The previous prime is 133143142477. The next prime is 133143142543. The reversal of 133143142500 is 5241341331.

It is a happy number.

133143142500 is a `hidden beast` number, since 1 + 3 + 3 + 14 + 3 + 142 + 500 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 95985953856 + 37157188644 = 309816^2 + 192762^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 126249 + ... + 531248.

Almost surely, 2133143142500 is an apocalyptic number.

133143142500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133143142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217469764743).

133143142500 is an abundant number, since it is smaller than the sum of its proper divisors (301796386986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133143142500 is an equidigital number, since it uses as much as digits as its factorization.

133143142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657533 (or 657507 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 133143142500 its reverse (5241341331), we get a palindrome (138384483831).

The spelling of 133143142500 in words is "one hundred thirty-three billion, one hundred forty-three million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 375 405 450 500 540 625 675 750 810 900 1125 1250 1350 1500 1620 1875 2025 2250 2500 2700 3375 3750 4050 4500 5625 6750 7500 8100 10125 11250 13500 16875 20250 22500 33750 40500 50625 67500 101250 202500 657497 1314994 1972491 2629988 3287485 3944982 5917473 6574970 7889964 9862455 11834946 13149940 16437425 17752419 19724910 23669892 29587365 32874850 35504838 39449820 49312275 53257257 59174730 65749700 71009676 82187125 88762095 98624550 106514514 118349460 147936825 164374250 177524190 197249100 213029028 246561375 266286285 295873650 328748500 355048380 410935625 443810475 493122750 532572570 591747300 739684125 821871250 887620950 986245500 1065145140 1232806875 1331431425 1479368250 1643742500 1775241900 2219052375 2465613750 2662862850 2958736500 3698420625 4438104750 4931227500 5325725700 6657157125 7396841250 8876209500 11095261875 13314314250 14793682500 22190523750 26628628500 33285785625 44381047500 66571571250 133143142500