157793664 has 128 divisors (see below), whose sum is σ = 489600000. Its totient is φ = 44089344.

The previous prime is 157793663. The next prime is 157793687. The reversal of 157793664 is 466397751.

It is a happy number.

157793664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157793663) 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, 125712 + ... + 126960.

It is an arithmetic number, because the mean of its divisors is an integer number (3825000).

Almost surely, 2^157793664 is an apocalyptic number.

157793664 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 157793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800000).

157793664 is an abundant number, since it is smaller than the sum of its proper divisors (331806336).

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

157793664 is a wasteful number, since it uses less digits than its factorization.

157793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1308 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 157793664 is about 12561.5948032087. The cubic root of 157793664 is about 540.3765823131.

The spelling of 157793664 in words is "one hundred fifty-seven million, seven hundred ninety-three thousand, six hundred sixty-four".