157306464 has 216 divisors, whose sum is σ = 531065808. Its totient is φ = 44029440.

The previous prime is 157306447. The next prime is 157306481. The reversal of 157306464 is 464603751.

It is a happy number.

157306464 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 0 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (157306447) and next prime (157306481).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1001874 + ... + 1002030.

It is an arithmetic number, because the mean of its divisors is an integer number (2458638).

Almost surely, 2^157306464 is an apocalyptic number.

157306464 is a gapful number since it is divisible by the number (14) 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 157306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265532904).

157306464 is an abundant number, since it is smaller than the sum of its proper divisors (373759344).

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

157306464 is a wasteful number, since it uses less digits than its factorization.

157306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 157306464 is about 12542.1873690358. The cubic root of 157306464 is about 539.8198576072.

The spelling of 157306464 in words is "one hundred fifty-seven million, three hundred six thousand, four hundred sixty-four".