137964312 has 48 divisors (see below), whose sum is σ = 375570000. Its totient is φ = 45752256.

The previous prime is 137964271. The next prime is 137964319. The reversal of 137964312 is 213469731.

137964312 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 643 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137964319) 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 11 ways as a sum of consecutive naturals, for example, 9514 + ... + 19142.

It is an arithmetic number, because the mean of its divisors is an integer number (7824375).

Almost surely, 2^137964312 is an apocalyptic number.

137964312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137964312 is an abundant number, since it is smaller than the sum of its proper divisors (237605688).

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

137964312 is a wasteful number, since it uses less digits than its factorization.

137964312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840 (or 9833 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 137964312 is about 11745.8210440990. The cubic root of 137964312 is about 516.7203747613.

The spelling of 137964312 in words is "one hundred thirty-seven million, nine hundred sixty-four thousand, three hundred twelve".