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145520000 = 275417107
BaseRepresentation
bin10001010110001…
…11010110000000
3101010211011220122
420223013112000
5244223120000
622234555412
73414620363
oct1053072600
9333734818
10145520000
117516236a
1240898b68
13241c0a12
14154800da
15cb97085
hex8ac7580

145520000 has 160 divisors (see below), whose sum is σ = 387157320. Its totient is φ = 54272000.

The previous prime is 145519991. The next prime is 145520009. The reversal of 145520000 is 25541.

It is an interprime number because it is at equal distance from previous prime (145519991) and next prime (145520009).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145520009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1359947 + ... + 1360053.

Almost surely, 2145520000 is an apocalyptic number.

145520000 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 145520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193578660).

145520000 is an abundant number, since it is smaller than the sum of its proper divisors (241637320).

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

145520000 is an equidigital number, since it uses as much as digits as its factorization.

145520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 145520000 is about 12063.1670800002. The cubic root of 145520000 is about 525.9860531127.

Adding to 145520000 its reverse (25541), we get a palindrome (145545541).

The spelling of 145520000 in words is "one hundred forty-five million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 107 125 128 136 160 170 200 214 250 272 320 340 400 425 428 500 535 544 625 640 680 800 850 856 1000 1070 1088 1250 1360 1600 1700 1712 1819 2000 2125 2140 2176 2500 2675 2720 3200 3400 3424 3638 4000 4250 4280 5000 5350 5440 6800 6848 7276 8000 8500 8560 9095 10000 10625 10700 10880 13375 13600 13696 14552 16000 17000 17120 18190 20000 21250 21400 26750 27200 29104 34000 34240 36380 40000 42500 42800 45475 53500 54400 58208 66875 68000 68480 72760 80000 85000 85600 90950 107000 116416 133750 136000 145520 170000 171200 181900 214000 227375 232832 267500 272000 291040 340000 342400 363800 428000 454750 535000 582080 680000 727600 856000 909500 1070000 1136875 1164160 1360000 1455200 1712000 1819000 2140000 2273750 2910400 3638000 4280000 4547500 5820800 7276000 8560000 9095000 14552000 18190000 29104000 36380000 72760000 145520000