157496976 has 360 divisors, whose sum is σ = 590446584. Its totient is φ = 38707200.

The previous prime is 157496971. The next prime is 157496987. The reversal of 157496976 is 679694751.

157496976 is a `hidden beast` number, since 1 + 574 + 9 + 69 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55890576 + 101606400 = 7476^2 + 10080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157496971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1559326 + ... + 1559426.

Almost surely, 2^157496976 is an apocalyptic number.

157496976 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 157496976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295223292).

157496976 is an abundant number, since it is smaller than the sum of its proper divisors (432949608).

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

157496976 is a wasteful number, since it uses less digits than its factorization.

157496976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 157496976 is about 12549.7799183890. The cubic root of 157496976 is about 540.0376928422.

The spelling of 157496976 in words is "one hundred fifty-seven million, four hundred ninety-six thousand, nine hundred seventy-six".