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157131645 = 3511952313
BaseRepresentation
bin10010101110110…
…10001101111101
3101221200010002120
421113122031331
5310211203040
623331513153
73615411516
oct1127321575
9357603076
10157131645
1180773370
12447587b9
1326728008
1416c23a0d
15dbdc7d0
hex95da37d

157131645 has 16 divisors (see below), whose sum is σ = 274266432. Its totient is φ = 76184960.

The previous prime is 157131643. The next prime is 157131647. The reversal of 157131645 is 546131751.

It is an interprime number because it is at equal distance from previous prime (157131643) and next prime (157131647).

It is not a de Polignac number, because 157131645 - 21 = 157131643 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157131641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475992 + ... + 476321.

It is an arithmetic number, because the mean of its divisors is an integer number (17141652).

Almost surely, 2157131645 is an apocalyptic number.

157131645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157131645 is a deficient number, since it is larger than the sum of its proper divisors (117134787).

157131645 is a wasteful number, since it uses less digits than its factorization.

157131645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952332.

The product of its digits is 12600, while the sum is 33.

The square root of 157131645 is about 12535.2161927906. The cubic root of 157131645 is about 539.6198112649.

The spelling of 157131645 in words is "one hundred fifty-seven million, one hundred thirty-one thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 952313 2856939 4761565 10475443 14284695 31426329 52377215 157131645