157100160 has 128 divisors (see below), whose sum is σ = 572342400. Its totient is φ = 35905536.

The previous prime is 157100149. The next prime is 157100173. The reversal of 157100160 is 61001751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7596 + ... + 19284.

It is an arithmetic number, because the mean of its divisors is an integer number (4471425).

Almost surely, 2^157100160 is an apocalyptic number.

157100160 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 157100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286171200).

157100160 is an abundant number, since it is smaller than the sum of its proper divisors (415242240).

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

157100160 is a wasteful number, since it uses less digits than its factorization.

157100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11718 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 157100160 is about 12533.9602680079. The cubic root of 157100160 is about 539.5837670408.

It can be divided in two parts, 15 and 7100160, that multiplied together give a square (106502400 = 10320²).

The spelling of 157100160 in words is "one hundred fifty-seven million, one hundred thousand, one hundred sixty".