157513464 has 64 divisors (see below), whose sum is σ = 438950400. Its totient is φ = 52335072.

The previous prime is 157513459. The next prime is 157513469. The reversal of 157513464 is 464315751.

It is an interprime number because it is at equal distance from previous prime (157513459) and next prime (157513469).

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 (157513469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78279 + ... + 80265.

It is an arithmetic number, because the mean of its divisors is an integer number (6858600).

Almost surely, 2^157513464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157513464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219475200).

157513464 is an abundant number, since it is smaller than the sum of its proper divisors (281436936).

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

157513464 is a wasteful number, since it uses less digits than its factorization.

157513464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2359 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 157513464 is about 12550.4368051475. The cubic root of 157513464 is about 540.0565372903.

The spelling of 157513464 in words is "one hundred fifty-seven million, five hundred thirteen thousand, four hundred sixty-four".