137306764 has 24 divisors (see below), whose sum is σ = 284084640. Its totient is φ = 56816256.

The previous prime is 137306761. The next prime is 137306779. The reversal of 137306764 is 467603731.

It is not an unprimeable number, because it can be changed into a prime (137306761) 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 7 ways as a sum of consecutive naturals, for example, 83737 + ... + 85360.

It is an arithmetic number, because the mean of its divisors is an integer number (11836860).

Almost surely, 2^137306764 is an apocalyptic number.

137306764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137306764 is an abundant number, since it is smaller than the sum of its proper divisors (146777876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137306764 is a wasteful number, since it uses less digits than its factorization.

137306764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169137 (or 169135 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The square root of 137306764 is about 11717.7968919076. The cubic root of 137306764 is about 515.8981580954.

The spelling of 137306764 in words is "one hundred thirty-seven million, three hundred six thousand, seven hundred sixty-four".