157106560 has 128 divisors (see below), whose sum is σ = 422573760. Its totient is φ = 55418880.

The previous prime is 157106527. The next prime is 157106569. The reversal of 157106560 is 65601751.

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

It is a super-3 number, since 3×157106560³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157106569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190950 + ... + 191770.

Almost surely, 2^157106560 is an apocalyptic number.

157106560 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 157106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211286880).

157106560 is an abundant number, since it is smaller than the sum of its proper divisors (265467200).

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

157106560 is a wasteful number, since it uses less digits than its factorization.

157106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 157106560 is about 12534.2155717859. The cubic root of 157106560 is about 539.5910941906.

The spelling of 157106560 in words is "one hundred fifty-seven million, one hundred six thousand, five hundred sixty".