157279320 has 192 divisors, whose sum is σ = 578672640. Its totient is φ = 38102400.

The previous prime is 157279307. The next prime is 157279327. The reversal of 157279320 is 23972751.

157279320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157279327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106185 + ... + 107655.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^157279320 is an apocalyptic number.

157279320 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 157279320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289336320).

157279320 is an abundant number, since it is smaller than the sum of its proper divisors (421393320).

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

157279320 is a wasteful number, since it uses less digits than its factorization.

157279320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 157279320 is about 12541.1052144538. The cubic root of 157279320 is about 539.7888063019.

The spelling of 157279320 in words is "one hundred fifty-seven million, two hundred seventy-nine thousand, three hundred twenty".