157120 has 28 divisors (see below), whose sum is σ = 374904. Its totient is φ = 62720.

The previous prime is 157109. The next prime is 157127. The reversal of 157120 is 21751.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 157094 and 157103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75 + ... + 565.

2¹⁵⁷¹²⁰ is an apocalyptic number.

157120 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 157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187452).

157120 is an abundant number, since it is smaller than the sum of its proper divisors (217784).

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

157120 is an equidigital number, since it uses as much as digits as its factorization.

157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 157120 is about 396.3836525388. The cubic root of 157120 is about 53.9606480558.

Adding to 157120 its reverse (21751), we get a palindrome (178871).

It can be divided in two parts, 1 and 57120, that added together give a square (57121 = 239²).

The spelling of 157120 in words is "one hundred fifty-seven thousand, one hundred twenty".