157625160 has 192 divisors, whose sum is σ = 600333120. Its totient is φ = 32739840.

The previous prime is 157625147. The next prime is 157625201. The reversal of 157625160 is 61526751.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63462 + ... + 65898.

It is an arithmetic number, because the mean of its divisors is an integer number (3126735).

Almost surely, 2^157625160 is an apocalyptic number.

157625160 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 157625160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300166560).

157625160 is an abundant number, since it is smaller than the sum of its proper divisors (442707960).

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

157625160 is a wasteful number, since it uses less digits than its factorization.

157625160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 157625160 is about 12554.8859015126. The cubic root of 157625160 is about 540.1841621517.

The spelling of 157625160 in words is "one hundred fifty-seven million, six hundred twenty-five thousand, one hundred sixty".