137299104 has 96 divisors (see below), whose sum is σ = 402474240. Its totient is φ = 45536256.

The previous prime is 137299091. The next prime is 137299109. The reversal of 137299104 is 401992731.

It is a tau number, because it is divible by the number of its divisors (96).

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 (137299109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316872 + ... + 317304.

It is an arithmetic number, because the mean of its divisors is an integer number (4192440).

Almost surely, 2^137299104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137299104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201237120).

137299104 is an abundant number, since it is smaller than the sum of its proper divisors (265175136).

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

137299104 is a wasteful number, since it uses less digits than its factorization.

137299104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 137299104 is about 11717.4700340987. The cubic root of 137299104 is about 515.8885643622. Note that the first 3 decimals are identical.

The spelling of 137299104 in words is "one hundred thirty-seven million, two hundred ninety-nine thousand, one hundred four".