137252300 has 36 divisors (see below), whose sum is σ = 299522496. Its totient is φ = 54590400.

The previous prime is 137252299. The next prime is 137252303. The reversal of 137252300 is 3252731.

It is not an unprimeable number, because it can be changed into a prime (137252303) 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 11 ways as a sum of consecutive naturals, for example, 14309 + ... + 21891.

Almost surely, 2^137252300 is an apocalyptic number.

137252300 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 137252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149761248).

137252300 is an abundant number, since it is smaller than the sum of its proper divisors (162270196).

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

137252300 is a wasteful number, since it uses less digits than its factorization.

137252300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 137252300 is about 11715.4726750567. The cubic root of 137252300 is about 515.8299371465.

The spelling of 137252300 in words is "one hundred thirty-seven million, two hundred fifty-two thousand, three hundred".