137800525 has 24 divisors (see below), whose sum is σ = 175478600. Its totient is φ = 107308800.

The previous prime is 137800517. The next prime is 137800571. The reversal of 137800525 is 525008731.

137800525 is digitally balanced in base 2, 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 12 ways, for example, as 56836521 + 80964004 = 7539^2 + 8998^2 .

It is not a de Polignac number, because 137800525 - 2³ = 137800517 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165811 + ... + 166639.

Almost surely, 2^137800525 is an apocalyptic number.

It is an amenable number.

137800525 is a deficient number, since it is larger than the sum of its proper divisors (37678075).

137800525 is a wasteful number, since it uses less digits than its factorization.

137800525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 137800525 is about 11738.8468343360. The cubic root of 137800525 is about 516.5158155973.

The spelling of 137800525 in words is "one hundred thirty-seven million, eight hundred thousand, five hundred twenty-five".