137042565 has 16 divisors (see below), whose sum is σ = 239201856. Its totient is φ = 66444800.

The previous prime is 137042527. The next prime is 137042569. The reversal of 137042565 is 565240731.

It is not a de Polignac number, because 137042565 - 2⁶ = 137042501 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137042569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 415116 + ... + 415445.

It is an arithmetic number, because the mean of its divisors is an integer number (14950116).

Almost surely, 2^137042565 is an apocalyptic number.

137042565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137042565 is a deficient number, since it is larger than the sum of its proper divisors (102159291).

137042565 is a wasteful number, since it uses less digits than its factorization.

137042565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830580.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 137042565 is about 11706.5180561942. The cubic root of 137042565 is about 515.5670569233.

The spelling of 137042565 in words is "one hundred thirty-seven million, forty-two thousand, five hundred sixty-five".