157205664 has 384 divisors, whose sum is σ = 609638400. Its totient is φ = 38154240.

The previous prime is 157205663. The next prime is 157205687. The reversal of 157205664 is 466502751.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (157205663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130907 + ... + 1131045.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^157205664 is an apocalyptic number.

157205664 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 157205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

157205664 is an abundant number, since it is smaller than the sum of its proper divisors (452432736).

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

157205664 is a wasteful number, since it uses less digits than its factorization.

157205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

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

The square root of 157205664 is about 12538.1682872739. The cubic root of 157205664 is about 539.7045297159.

The spelling of 157205664 in words is "one hundred fifty-seven million, two hundred five thousand, six hundred sixty-four".