157311360 has 192 divisors, whose sum is σ = 561375360. Its totient is φ = 40550400.

The previous prime is 157311337. The next prime is 157311373. The reversal of 157311360 is 63113751.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 178120 + ... + 179000.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^157311360 is an apocalyptic number.

157311360 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 157311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

157311360 is an abundant number, since it is smaller than the sum of its proper divisors (404064000).

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

157311360 is a wasteful number, since it uses less digits than its factorization.

157311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 157311360 is about 12542.3825487823. The cubic root of 157311360 is about 539.8254579929.

The spelling of 157311360 in words is "one hundred fifty-seven million, three hundred eleven thousand, three hundred sixty".