137525180 has 48 divisors (see below), whose sum is σ = 318277344. Its totient is φ = 49593600.

The previous prime is 137525177. The next prime is 137525197. The reversal of 137525180 is 81525731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5030 + ... + 17330.

It is an arithmetic number, because the mean of its divisors is an integer number (6630778).

Almost surely, 2^137525180 is an apocalyptic number.

137525180 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 137525180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159138672).

137525180 is an abundant number, since it is smaller than the sum of its proper divisors (180752164).

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

137525180 is a wasteful number, since it uses less digits than its factorization.

137525180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12366 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 137525180 is about 11727.1130292157. The cubic root of 137525180 is about 516.1715622455.

The spelling of 137525180 in words is "one hundred thirty-seven million, five hundred twenty-five thousand, one hundred eighty".