137255200 has 72 divisors (see below), whose sum is σ = 344204532. Its totient is φ = 53406720.

The previous prime is 137255179. The next prime is 137255281. The reversal of 137255200 is 2552731.

137255200 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 6 ways, for example, as 62536464 + 74718736 = 7908^2 + 8644^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27282 + ... + 31918.

Almost surely, 2^137255200 is an apocalyptic number.

137255200 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 137255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172102266).

137255200 is an abundant number, since it is smaller than the sum of its proper divisors (206949332).

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

137255200 is a wasteful number, since it uses less digits than its factorization.

137255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 137255200 is about 11715.5964423498. The cubic root of 137255200 is about 515.8335701063.

The spelling of 137255200 in words is "one hundred thirty-seven million, two hundred fifty-five thousand, two hundred".