157333680 has 480 divisors, whose sum is σ = 668528640. Its totient is φ = 32348160.

The previous prime is 157333679. The next prime is 157333723. The reversal of 157333680 is 86333751.

157333680 is a `hidden beast` number, since 1 + 573 + 3 + 3 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2968534 + ... + 2968586.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 2^157333680 is an apocalyptic number.

157333680 is a gapful number since it is divisible by the number (10) 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 157333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

157333680 is an abundant number, since it is smaller than the sum of its proper divisors (511194960).

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

157333680 is a wasteful number, since it uses less digits than its factorization.

157333680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 157333680 is about 12543.2723003210. The cubic root of 157333680 is about 539.8509876906.

It can be divided in two parts, 1573 and 33680, that added together give a palindrome (35253).

The spelling of 157333680 in words is "one hundred fifty-seven million, three hundred thirty-three thousand, six hundred eighty".