157013637561 has 24 divisors (see below), whose sum is σ = 247457527200. Its totient is φ = 95143588800.

The previous prime is 157013637533. The next prime is 157013637563. The reversal of 157013637561 is 165736310751.

157013637561 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 1 + 3 + 637 + 5 + 6 + 1 = 666.

It is not a de Polignac number, because 157013637561 - 2¹⁵ = 157013604793 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (157013637563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463165 + ... + 727013.

It is an arithmetic number, because the mean of its divisors is an integer number (10310730300).

Almost surely, 2^157013637561 is an apocalyptic number.

157013637561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157013637561 is a deficient number, since it is larger than the sum of its proper divisors (90443889639).

157013637561 is a wasteful number, since it uses less digits than its factorization.

157013637561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269877 (or 269874 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 157013637561 in words is "one hundred fifty-seven billion, thirteen million, six hundred thirty-seven thousand, five hundred sixty-one".