157666500 has 240 divisors, whose sum is σ = 547026480. Its totient is φ = 39398400.

The previous prime is 157666493. The next prime is 157666501. The reversal of 157666500 is 5666751.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6081156 + 151585344 = 2466^2 + 12312^2 .

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (157666501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 688386 + ... + 688614.

It is an arithmetic number, because the mean of its divisors is an integer number (2279277).

Almost surely, 2^157666500 is an apocalyptic number.

157666500 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 157666500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273513240).

157666500 is an abundant number, since it is smaller than the sum of its proper divisors (389359980).

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

157666500 is a wasteful number, since it uses less digits than its factorization.

157666500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 157666500 is about 12556.5321645747. The cubic root of 157666500 is about 540.2313823233.

The spelling of 157666500 in words is "one hundred fifty-seven million, six hundred sixty-six thousand, five hundred".