152113200 has 60 divisors (see below), whose sum is σ = 487273128. Its totient is φ = 40563200.

The previous prime is 152113177. The next prime is 152113201. The reversal of 152113200 is 2311251.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×152113200² = 46276851228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 152113200.

It is not an unprimeable number, because it can be changed into a prime (152113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62181 + ... + 64580.

Almost surely, 2^152113200 is an apocalyptic number.

152113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152113200 is an abundant number, since it is smaller than the sum of its proper divisors (335159928).

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

152113200 is a wasteful number, since it uses less digits than its factorization.

152113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126782 (or 126771 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 152113200 is about 12333.4180177273. The cubic root of 152113200 is about 533.8127806706.

Adding to 152113200 its reverse (2311251), we get a palindrome (154424451).

The spelling of 152113200 in words is "one hundred fifty-two million, one hundred thirteen thousand, two hundred".