157290 has 48 divisors (see below), whose sum is σ = 443232. Its totient is φ = 35616.

The previous prime is 157279. The next prime is 157291. The reversal of 157290 is 92751.

157290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 157290.

It is not an unprimeable number, because it can be changed into a prime (157291) by changing a digit.

157290 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 23 ways as a sum of consecutive naturals, for example, 1417 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (9234).

2¹⁵⁷²⁹⁰ is an apocalyptic number.

157290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221616).

157290 is an abundant number, since it is smaller than the sum of its proper divisors (285942).

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

157290 is a wasteful number, since it uses less digits than its factorization.

157290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 157290 is about 396.5980332780. The cubic root of 157290 is about 53.9801024085.

It can be divided in two parts, 1 and 57290, that added together give a triangular number (57291 = T₃₃₈).

The spelling of 157290 in words is "one hundred fifty-seven thousand, two hundred ninety".