157109160 has 192 divisors, whose sum is σ = 522823680. Its totient is φ = 37739520.

The previous prime is 157109131. The next prime is 157109167. The reversal of 157109160 is 61901751.

157109160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157109167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237017 + ... + 1237143.

It is an arithmetic number, because the mean of its divisors is an integer number (2723040).

Almost surely, 2^157109160 is an apocalyptic number.

157109160 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 157109160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261411840).

157109160 is an abundant number, since it is smaller than the sum of its proper divisors (365714520).

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

157109160 is a wasteful number, since it uses less digits than its factorization.

157109160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The square root of 157109160 is about 12534.3192874603. The cubic root of 157109160 is about 539.5940707884.

The spelling of 157109160 in words is "one hundred fifty-seven million, one hundred nine thousand, one hundred sixty".