157316460 has 144 divisors (see below), whose sum is σ = 520130016. Its totient is φ = 35417088.

The previous prime is 157316449. The next prime is 157316461. The reversal of 157316460 is 64613751.

It is not an unprimeable number, because it can be changed into a prime (157316461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214254 + ... + 214986.

It is an arithmetic number, because the mean of its divisors is an integer number (3612014).

Almost surely, 2^157316460 is an apocalyptic number.

157316460 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 157316460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260065008).

157316460 is an abundant number, since it is smaller than the sum of its proper divisors (362813556).

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

157316460 is a wasteful number, since it uses less digits than its factorization.

157316460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 157316460 is about 12542.5858577887. The cubic root of 157316460 is about 539.8312916044.

The spelling of 157316460 in words is "one hundred fifty-seven million, three hundred sixteen thousand, four hundred sixty".