157286976 has 112 divisors (see below), whose sum is σ = 518891520. Its totient is φ = 40849920.

The previous prime is 157286951. The next prime is 157287019. The reversal of 157286976 is 679682751.

157286976 is digitally balanced in base 3, because in such base 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 (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9465 + ... + 20103.

It is an arithmetic number, because the mean of its divisors is an integer number (4632960).

Almost surely, 2^157286976 is an apocalyptic number.

157286976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445760).

157286976 is an abundant number, since it is smaller than the sum of its proper divisors (361604544).

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

157286976 is a wasteful number, since it uses less digits than its factorization.

157286976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10672 (or 10662 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 157286976 is about 12541.4104469952. The cubic root of 157286976 is about 539.7975647241.

The spelling of 157286976 in words is "one hundred fifty-seven million, two hundred eighty-six thousand, nine hundred seventy-six".