137534749 has 16 divisors (see below), whose sum is σ = 158400000. Its totient is φ = 118102320.

The previous prime is 137534729. The next prime is 137534773. The reversal of 137534749 is 947435731.

It is a cyclic number.

It is not a de Polignac number, because 137534749 - 2⁵ = 137534717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137534729) 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 15 ways as a sum of consecutive naturals, for example, 91002 + ... + 92500.

It is an arithmetic number, because the mean of its divisors is an integer number (9900000).

Almost surely, 2^137534749 is an apocalyptic number.

137534749 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

137534749 is a deficient number, since it is larger than the sum of its proper divisors (20865251).

137534749 is a wasteful number, since it uses less digits than its factorization.

137534749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968.

The product of its digits is 317520, while the sum is 43.

The square root of 137534749 is about 11727.5210082950. The cubic root of 137534749 is about 516.1835337044.

The spelling of 137534749 in words is "one hundred thirty-seven million, five hundred thirty-four thousand, seven hundred forty-nine".