157816320 has 80 divisors (see below), whose sum is σ = 504543600. Its totient is φ = 42082304.

The previous prime is 157816303. The next prime is 157816343. The reversal of 157816320 is 23618751.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2595 + ... + 17954.

It is an arithmetic number, because the mean of its divisors is an integer number (6306795).

Almost surely, 2^157816320 is an apocalyptic number.

157816320 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 157816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252271800).

157816320 is an abundant number, since it is smaller than the sum of its proper divisors (346727280).

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

157816320 is an equidigital number, since it uses as much as digits as its factorization.

157816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20575 (or 20559 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 157816320 is about 12562.4965671637. The cubic root of 157816320 is about 540.4024434824.

The spelling of 157816320 in words is "one hundred fifty-seven million, eight hundred sixteen thousand, three hundred twenty".