157380 has 48 divisors (see below), whose sum is σ = 458304. Its totient is φ = 40320.

The previous prime is 157363. The next prime is 157393. The reversal of 157380 is 83751.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 157380.

It is an unprimeable number.

157380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2550 + ... + 2610.

It is an arithmetic number, because the mean of its divisors is an integer number (9548).

2¹⁵⁷³⁸⁰ is an apocalyptic number.

157380 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 157380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229152).

157380 is an abundant number, since it is smaller than the sum of its proper divisors (300924).

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

157380 is a wasteful number, since it uses less digits than its factorization.

157380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 157380 is about 396.7114820622. The cubic root of 157380 is about 53.9903960973.

It can be divided in two parts, 1573 and 80, that added together give a triangular number (1653 = T₅₇).

The spelling of 157380 in words is "one hundred fifty-seven thousand, three hundred eighty".