157180464 has 240 divisors, whose sum is σ = 549369600. Its totient is φ = 40932864.

The previous prime is 157180423. The next prime is 157180489. The reversal of 157180464 is 464081751.

It is a happy number.

157180464 is a `hidden beast` number, since 1 + 571 + 80 + 4 + 6 + 4 = 666.

157180464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555267 + ... + 555549.

It is an arithmetic number, because the mean of its divisors is an integer number (2289040).

Almost surely, 2^157180464 is an apocalyptic number.

157180464 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 157180464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274684800).

157180464 is an abundant number, since it is smaller than the sum of its proper divisors (392189136).

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

157180464 is a wasteful number, since it uses less digits than its factorization.

157180464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 157180464 is about 12537.1633155192. The cubic root of 157180464 is about 539.6756900405.

The spelling of 157180464 in words is "one hundred fifty-seven million, one hundred eighty thousand, four hundred sixty-four".