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157163148 = 223225117393
BaseRepresentation
bin10010101111000…
…01111010001100
3101221201201022100
421113201322030
5310213210043
623332315100
73615602412
oct1127417214
9357651270
10157163148
1180794aaa
1244772a90
132673945c
1416c312b2
15dbe6cd3
hex95e1e8c

157163148 has 36 divisors (see below), whose sum is σ = 398879208. Its totient is φ = 52176000.

The previous prime is 157163141. The next prime is 157163203. The reversal of 157163148 is 841361751.

157163148 is a `hidden beast` number, since 15 + 7 + 1 + 631 + 4 + 8 = 666.

157163148 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157163141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340 + ... + 17732.

It is an arithmetic number, because the mean of its divisors is an integer number (11079978).

Almost surely, 2157163148 is an apocalyptic number.

157163148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157163148 is an abundant number, since it is smaller than the sum of its proper divisors (241716060).

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

157163148 is a wasteful number, since it uses less digits than its factorization.

157163148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17654 (or 17649 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 157163148 is about 12536.4727096580. The cubic root of 157163148 is about 539.6558712768.

The spelling of 157163148 in words is "one hundred fifty-seven million, one hundred sixty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 753 1004 1506 2259 3012 4518 9036 17393 34786 52179 69572 104358 156537 208716 313074 626148 4365643 8731286 13096929 17462572 26193858 39290787 52387716 78581574 157163148