157612560 has 160 divisors (see below), whose sum is σ = 582819840. Its totient is φ = 34450944.

The previous prime is 157612549. The next prime is 157612561. The reversal of 157612560 is 65216751.

It is not an unprimeable number, because it can be changed into a prime (157612561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36601 + ... + 40679.

It is an arithmetic number, because the mean of its divisors is an integer number (3642624).

Almost surely, 2^157612560 is an apocalyptic number.

157612560 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 157612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291409920).

157612560 is an abundant number, since it is smaller than the sum of its proper divisors (425207280).

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

157612560 is a wasteful number, since it uses less digits than its factorization.

157612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4119 counting only the distinct ones).

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

The square root of 157612560 is about 12554.3840948093. The cubic root of 157612560 is about 540.1697682952.

The spelling of 157612560 in words is "one hundred fifty-seven million, six hundred twelve thousand, five hundred sixty".