157080 has 128 divisors (see below), whose sum is σ = 622080. Its totient is φ = 30720.

The previous prime is 157061. The next prime is 157081. The reversal of 157080 is 80751.

157080 = 88² + 89² + ... + 104².

It is a happy number.

157080 is a nontrivial binomial coefficient, being equal to C(561, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157081) 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, 9232 + ... + 9248.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2¹⁵⁷⁰⁸⁰ is an apocalyptic number.

157080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157080 is the 560-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040).

157080 is an abundant number, since it is smaller than the sum of its proper divisors (465000).

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

157080 is a wasteful number, since it uses less digits than its factorization.

157080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 157080 is about 396.3331931595. Note that the first 3 decimals coincide. The cubic root of 157080 is about 53.9560685218.

157080 divided by its product of nonzero digits (280) gives a triangular number (561 = T₃₃).

The spelling of 157080 in words is "one hundred fifty-seven thousand, eighty".