157117312 has 64 divisors (see below), whose sum is σ = 344188800. Its totient is φ = 70848000.

The previous prime is 157117309. The next prime is 157117319. The reversal of 157117312 is 213711751.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157117319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212239 + ... + 212977.

It is an arithmetic number, because the mean of its divisors is an integer number (5377950).

Almost surely, 2^157117312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172094400).

157117312 is an abundant number, since it is smaller than the sum of its proper divisors (187071488).

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

157117312 is a wasteful number, since it uses less digits than its factorization.

157117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its digits is 1470, while the sum is 28.

The square root of 157117312 is about 12534.6444704268. The cubic root of 157117312 is about 539.6034033543.

The spelling of 157117312 in words is "one hundred fifty-seven million, one hundred seventeen thousand, three hundred twelve".