165137525 has 24 divisors (see below), whose sum is σ = 236365824. Its totient is φ = 112104000.

The previous prime is 165137503. The next prime is 165137543. The reversal of 165137525 is 525731561.

It is not a de Polignac number, because 165137525 - 2¹² = 165133429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13004 + ... + 22346.

It is an arithmetic number, because the mean of its divisors is an integer number (9848576).

Almost surely, 2^165137525 is an apocalyptic number.

It is an amenable number.

165137525 is a deficient number, since it is larger than the sum of its proper divisors (71228299).

165137525 is a wasteful number, since it uses less digits than its factorization.

165137525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9461 (or 9456 counting only the distinct ones).

The product of its digits is 31500, while the sum is 35.

The square root of 165137525 is about 12850.5846170515. The cubic root of 165137525 is about 548.6329963650.

The spelling of 165137525 in words is "one hundred sixty-five million, one hundred thirty-seven thousand, five hundred twenty-five".