137725200 has 180 divisors, whose sum is σ = 485927728. Its totient is φ = 36115200.

The previous prime is 137725199. The next prime is 137725241. The reversal of 137725200 is 2527731.

137725200 is a `hidden beast` number, since 137 + 7 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240915 + ... + 241485.

Almost surely, 2^137725200 is an apocalyptic number.

137725200 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 137725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242963864).

137725200 is an abundant number, since it is smaller than the sum of its proper divisors (348202528).

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

137725200 is a wasteful number, since it uses less digits than its factorization.

137725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 137725200 is about 11735.6380312278. The cubic root of 137725200 is about 516.4216852229.

The spelling of 137725200 in words is "one hundred thirty-seven million, seven hundred twenty-five thousand, two hundred".