137312835 has 32 divisors (see below), whose sum is σ = 240226560. Its totient is φ = 66422400.

The previous prime is 137312827. The next prime is 137312839. The reversal of 137312835 is 538213731.

It is not a de Polignac number, because 137312835 - 2³ = 137312827 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 137312796 and 137312805.

It is not an unprimeable number, because it can be changed into a prime (137312839) 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 31 ways as a sum of consecutive naturals, for example, 108436 + ... + 109694.

It is an arithmetic number, because the mean of its divisors is an integer number (7507080).

Almost surely, 2^137312835 is an apocalyptic number.

137312835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137312835 is a deficient number, since it is larger than the sum of its proper divisors (102913725).

137312835 is a wasteful number, since it uses less digits than its factorization.

137312835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939.

The product of its digits is 15120, while the sum is 33.

The square root of 137312835 is about 11718.0559394466. The cubic root of 137312835 is about 515.9057614391.

The spelling of 137312835 in words is "one hundred thirty-seven million, three hundred twelve thousand, eight hundred thirty-five".