157501431361 has 16 divisors (see below), whose sum is σ = 166311347200. Its totient is φ = 148743958608.

The previous prime is 157501431359. The next prime is 157501431371. The reversal of 157501431361 is 163134105751.

It is a 7-Lehmer number, since φ(157501431361) divides (157501431361-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 157501431361 - 2¹ = 157501431359 is a prime.

It is the 396865-th Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 157501431361.

It is not an unprimeable number, because it can be changed into a prime (157501431341) by changing a digit.

It is a nontrivial repunit in base 396864.

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, 19056916 + ... + 19065178.

It is an arithmetic number, because the mean of its divisors is an integer number (10394459200).

Almost surely, 2^157501431361 is an apocalyptic number.

It is an amenable number.

157501431361 is a deficient number, since it is larger than the sum of its proper divisors (8809915839).

157501431361 is a wasteful number, since it uses less digits than its factorization.

157501431361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 157501431361 in words is "one hundred fifty-seven billion, five hundred one million, four hundred thirty-one thousand, three hundred sixty-one".