157752320 has 88 divisors (see below), whose sum is σ = 412969968. Its totient is φ = 57344000.

The previous prime is 157752311. The next prime is 157752323. The reversal of 157752320 is 23257751.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157752323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54920 + ... + 57720.

Almost surely, 2^157752320 is an apocalyptic number.

157752320 is a gapful number since it is divisible by the number (10) 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 157752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206484984).

157752320 is an abundant number, since it is smaller than the sum of its proper divisors (255217648).

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

157752320 is a wasteful number, since it uses less digits than its factorization.

157752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 157752320 is about 12559.9490444826. The cubic root of 157752320 is about 540.3293829508.

The spelling of 157752320 in words is "one hundred fifty-seven million, seven hundred fifty-two thousand, three hundred twenty".