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145137160 = 23571730491
BaseRepresentation
bin10001010011010…
…01111000001000
3101010002201202101
420221221320020
5244123342120
622222443144
73411434260
oct1051517010
9333081671
10145137160
1174a20773
12407334b4
13240b869c
14153c07a0
15cb1d90a
hex8a69e08

145137160 has 64 divisors (see below), whose sum is σ = 395176320. Its totient is φ = 46832640.

The previous prime is 145137137. The next prime is 145137163. The reversal of 145137160 is 61731541.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (145137163) 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 15 ways as a sum of consecutive naturals, for example, 10486 + ... + 20005.

It is an arithmetic number, because the mean of its divisors is an integer number (6174630).

Almost surely, 2145137160 is an apocalyptic number.

145137160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145137160 is an abundant number, since it is smaller than the sum of its proper divisors (250039160).

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

145137160 is a wasteful number, since it uses less digits than its factorization.

145137160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30526 (or 30522 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 145137160 is about 12047.2884916067. The cubic root of 145137160 is about 525.5243861056.

The spelling of 145137160 in words is "one hundred forty-five million, one hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 30491 60982 121964 152455 213437 243928 304910 426874 518347 609820 853748 1036694 1067185 1219640 1707496 2073388 2134370 2591735 3628429 4146776 4268740 5183470 7256858 8537480 10366940 14513716 18142145 20733880 29027432 36284290 72568580 145137160