137907744 has 48 divisors (see below), whose sum is σ = 389858112. Its totient is φ = 42432768.

The previous prime is 137907743. The next prime is 137907779. The reversal of 137907744 is 447709731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 137907696 and 137907705.

It is not an unprimeable number, because it can be changed into a prime (137907743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54004 + ... + 56499.

It is an arithmetic number, because the mean of its divisors is an integer number (8122044).

Almost surely, 2^137907744 is an apocalyptic number.

It is an amenable number.

137907744 is an abundant number, since it is smaller than the sum of its proper divisors (251950368).

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

137907744 is a wasteful number, since it uses less digits than its factorization.

137907744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110529 (or 110521 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 137907744 is about 11743.4127918591. The cubic root of 137907744 is about 516.6497433698.

The spelling of 137907744 in words is "one hundred thirty-seven million, nine hundred seven thousand, seven hundred forty-four".