157319680 has 80 divisors (see below), whose sum is σ = 431133120. Its totient is φ = 53932032.

The previous prime is 157319663. The next prime is 157319689. The reversal of 157319680 is 86913751.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (157319689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13531 + ... + 22309.

It is an arithmetic number, because the mean of its divisors is an integer number (5389164).

Almost surely, 2^157319680 is an apocalyptic number.

157319680 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 157319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215566560).

157319680 is an abundant number, since it is smaller than the sum of its proper divisors (273813440).

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

157319680 is an frugal number, since it uses more digits than its factorization.

157319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8809 (or 8793 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 157319680 is about 12542.7142198170. The cubic root of 157319680 is about 539.8349747216.

The spelling of 157319680 in words is "one hundred fifty-seven million, three hundred nineteen thousand, six hundred eighty".