137072200 has 24 divisors (see below), whose sum is σ = 318693330. Its totient is φ = 54828800.

The previous prime is 137072197. The next prime is 137072219. The reversal of 137072200 is 2270731.

It can be written as a sum of positive squares in 3 ways, for example, as 66814276 + 70257924 = 8174^2 + 8382^2 .

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 5 ways as a sum of consecutive naturals, for example, 342481 + ... + 342880.

Almost surely, 2^137072200 is an apocalyptic number.

137072200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137072200 is an abundant number, since it is smaller than the sum of its proper divisors (181621130).

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

137072200 is a wasteful number, since it uses less digits than its factorization.

137072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685377 (or 685368 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 137072200 is about 11707.7837356179. The cubic root of 137072200 is about 515.6042174666.

The spelling of 137072200 in words is "one hundred thirty-seven million, seventy-two thousand, two hundred".