152125200 has 90 divisors (see below), whose sum is σ = 527929194. Its totient is φ = 40565760.

The previous prime is 152125189. The next prime is 152125319. The reversal of 152125200 is 2521251.

152125200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10419984 + 141705216 = 3228^2 + 11904^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 17529 + ... + 24728.

Almost surely, 2^152125200 is an apocalyptic number.

152125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152125200 is an abundant number, since it is smaller than the sum of its proper divisors (375803994).

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

152125200 is a wasteful number, since it uses less digits than its factorization.

152125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42281 (or 42267 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 152125200 is about 12333.9044912793. The cubic root of 152125200 is about 533.8268175522.

Adding to 152125200 its reverse (2521251), we get a palindrome (154646451).

The spelling of 152125200 in words is "one hundred fifty-two million, one hundred twenty-five thousand, two hundred".