152188100 has 72 divisors (see below), whose sum is σ = 350394240. Its totient is φ = 57214080.

The previous prime is 152188093. The next prime is 152188111. The reversal of 152188100 is 1881251.

It is a super-2 number, since 2×152188100² = 46322435563220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152188100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328469 + ... + 328931.

Almost surely, 2^152188100 is an apocalyptic number.

152188100 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 152188100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175197120).

152188100 is an abundant number, since it is smaller than the sum of its proper divisors (198206140).

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

152188100 is a wasteful number, since it uses less digits than its factorization.

152188100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 26.

The square root of 152188100 is about 12336.4541096702. The cubic root of 152188100 is about 533.9003821337.

The spelling of 152188100 in words is "one hundred fifty-two million, one hundred eighty-eight thousand, one hundred".