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145334000 = 2453721483
BaseRepresentation
bin10001010100110…
…01111011110000
3101010110201202202
420222121323300
5244201142000
622231002332
73413214200
oct1052317360
9333421682
10145334000
1175045649
12408093a8
1324157166
1415432400
15cb5bdd5
hex8a99ef0

145334000 has 120 divisors (see below), whose sum is σ = 409067568. Its totient is φ = 49795200.

The previous prime is 145333973. The next prime is 145334017. The reversal of 145334000 is 433541.

145334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453340002 = 42243943112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97259 + ... + 98741.

Almost surely, 2145334000 is an apocalyptic number.

145334000 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 145334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204533784).

145334000 is an abundant number, since it is smaller than the sum of its proper divisors (263733568).

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

145334000 is a wasteful number, since it uses less digits than its factorization.

145334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 145334000 is about 12055.4551967149. The cubic root of 145334000 is about 525.7618568551.

Adding to 145334000 its reverse (433541), we get a palindrome (145767541).

It can be divided in two parts, 1453 and 34000, that added together give a palindrome (35453).

The spelling of 145334000 in words is "one hundred forty-five million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1483 1750 1960 2000 2450 2800 2966 3500 3920 4900 5932 6125 7000 7415 9800 10381 11864 12250 14000 14830 19600 20762 23728 24500 29660 37075 41524 49000 51905 59320 72667 74150 83048 98000 103810 118640 145334 148300 166096 185375 207620 259525 290668 296600 363335 370750 415240 519050 581336 593200 726670 741500 830480 1038100 1162672 1297625 1453340 1483000 1816675 2076200 2595250 2906680 2966000 3633350 4152400 5190500 5813360 7266700 9083375 10381000 14533400 18166750 20762000 29066800 36333500 72667000 145334000