137525000 has 48 divisors (see below), whose sum is σ = 322362180. Its totient is φ = 55000000.

The previous prime is 137524993. The next prime is 137525033. The reversal of 137525000 is 525731.

It can be written as a sum of positive squares in 6 ways, for example, as 119716 + 137405284 = 346^2 + 11722^2 .

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 11 ways as a sum of consecutive naturals, for example, 22250 + ... + 27750.

Almost surely, 2^137525000 is an apocalyptic number.

137525000 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 137525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161181090).

137525000 is an abundant number, since it is smaller than the sum of its proper divisors (184837180).

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

137525000 is an frugal number, since it uses more digits than its factorization.

137525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 137525000 is about 11727.1053546900. The cubic root of 137525000 is about 516.1713370482.

The spelling of 137525000 in words is "one hundred thirty-seven million, five hundred twenty-five thousand".