157577376 has 144 divisors (see below), whose sum is σ = 468024480. Its totient is φ = 46033920.

The previous prime is 157577351. The next prime is 157577383. The reversal of 157577376 is 673775751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445610 + ... + 1445718.

It is an arithmetic number, because the mean of its divisors is an integer number (3250170).

Almost surely, 2^157577376 is an apocalyptic number.

157577376 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 157577376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234012240).

157577376 is an abundant number, since it is smaller than the sum of its proper divisors (310447104).

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

157577376 is a wasteful number, since it uses less digits than its factorization.

157577376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 162 counting only the distinct ones).

The product of its digits is 1080450, while the sum is 48.

The square root of 157577376 is about 12552.9827531149. The cubic root of 157577376 is about 540.1295711022.

The spelling of 157577376 in words is "one hundred fifty-seven million, five hundred seventy-seven thousand, three hundred seventy-six".