157056 has 32 divisors (see below), whose sum is σ = 418200. Its totient is φ = 52224.

The previous prime is 157051. The next prime is 157057. The reversal of 157056 is 650751.

157056 = T₁₂₃ + T₁₂₄ + ... + T₁₄₀.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157056.

It is not an unprimeable number, because it can be changed into a prime (157051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180 + ... + 588.

2¹⁵⁷⁰⁵⁶ is an apocalyptic number.

157056 is a gapful number since it is divisible by the number (16) 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 157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209100).

157056 is an abundant number, since it is smaller than the sum of its proper divisors (261144).

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

157056 is an equidigital number, since it uses as much as digits as its factorization.

157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 157056 is about 396.3029144480. The cubic root of 157056 is about 53.9533204283.

Adding to 157056 its sum of digits (24), we get a triangular number (157080 = T₅₆₀).

The spelling of 157056 in words is "one hundred fifty-seven thousand, fifty-six".