137205525 has 48 divisors (see below), whose sum is σ = 236592000. Its totient is φ = 70076160.

The previous prime is 137205463. The next prime is 137205527. The reversal of 137205525 is 525502731.

It is not a de Polignac number, because 137205525 - 2⁶ = 137205461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137205492 and 137205501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137205527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432667 + ... + 432983.

It is an arithmetic number, because the mean of its divisors is an integer number (4929000).

Almost surely, 2^137205525 is an apocalyptic number.

137205525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137205525 is a deficient number, since it is larger than the sum of its proper divisors (99386475).

137205525 is a wasteful number, since it uses less digits than its factorization.

137205525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 137205525 is about 11713.4762133194. The cubic root of 137205525 is about 515.7713329392.

The spelling of 137205525 in words is "one hundred thirty-seven million, two hundred five thousand, five hundred twenty-five".