157500720 has 320 divisors, whose sum is σ = 599961600. Its totient is φ = 37739520.

The previous prime is 157500667. The next prime is 157500727. The reversal of 157500720 is 27005751.

157500720 is a `hidden beast` number, since 157 + 500 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157500727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1993641 + ... + 1993719.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^157500720 is an apocalyptic number.

157500720 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 157500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

157500720 is an abundant number, since it is smaller than the sum of its proper divisors (442460880).

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

157500720 is a wasteful number, since it uses less digits than its factorization.

157500720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 157500720 is about 12549.9290834650. The cubic root of 157500720 is about 540.0419720462.

The spelling of 157500720 in words is "one hundred fifty-seven million, five hundred thousand, seven hundred twenty".