137749507 has 32 divisors (see below), whose sum is σ = 171924480. Its totient is φ = 107775360.

The previous prime is 137749501. The next prime is 137749531. The reversal of 137749507 is 705947731.

It is not a de Polignac number, because 137749507 - 2³ = 137749499 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (137749501) 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 31 ways as a sum of consecutive naturals, for example, 760957 + ... + 761137.

It is an arithmetic number, because the mean of its divisors is an integer number (5372640).

Almost surely, 2^137749507 is an apocalyptic number.

137749507 is a deficient number, since it is larger than the sum of its proper divisors (34174973).

137749507 is a wasteful number, since it uses less digits than its factorization.

137749507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 137749507 is about 11736.6735917806. The cubic root of 137749507 is about 516.4520643728.

The spelling of 137749507 in words is "one hundred thirty-seven million, seven hundred forty-nine thousand, five hundred seven".