157187667961 has 9 divisors (see below), whose sum is σ = 158020261893. Its totient is φ = 156359444220.

The previous prime is 157187667947. The next prime is 157187667979. The reversal of 157187667961 is 169766781751.

The square root of 157187667961 is 396469.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 157187667961 - 2⁵ = 157187667929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157187667893 and 157187667902.

It is not an unprimeable number, because it can be changed into a prime (157187667941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83654020 + ... + 83655898.

It is an arithmetic number, because the mean of its divisors is an integer number (17557806877).

Almost surely, 2^157187667961 is an apocalyptic number.

157187667961 is the 396469-th square number.

157187667961 is the 198235-th centered octagonal number.

It is an amenable number.

157187667961 is a deficient number, since it is larger than the sum of its proper divisors (832593932).

157187667961 is an frugal number, since it uses more digits than its factorization.

157187667961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 2090 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 64.

Multiplying 157187667961 by its sum of digits (64), we get a square (10060010749504 = 3171752²).

The spelling of 157187667961 in words is "one hundred fifty-seven billion, one hundred eighty-seven million, six hundred sixty-seven thousand, nine hundred sixty-one".