157361328 has 60 divisors (see below), whose sum is σ = 443370928. Its totient is φ = 52099200.

The previous prime is 157361327. The next prime is 157361329. The reversal of 157361328 is 823163751.

157361328 is a `hidden beast` number, since 1 + 573 + 61 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (157361327) and next prime (157361329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157361292 and 157361301.

It is not an unprimeable number, because it can be changed into a prime (157361327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18126 + ... + 25362.

Almost surely, 2^157361328 is an apocalyptic number.

157361328 is a gapful number since it is divisible by the number (18) 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 157361328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221685464).

157361328 is an abundant number, since it is smaller than the sum of its proper divisors (286009600).

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

157361328 is a wasteful number, since it uses less digits than its factorization.

157361328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7393 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 157361328 is about 12544.3743566588. The cubic root of 157361328 is about 539.8826082267.

The spelling of 157361328 in words is "one hundred fifty-seven million, three hundred sixty-one thousand, three hundred twenty-eight".