137109408 has 48 divisors (see below), whose sum is σ = 361771200. Its totient is φ = 45467136.

The previous prime is 137109397. The next prime is 137109409. The reversal of 137109408 is 804901731.

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

It is a super-2 number, since 2×137109408² = 37597979524220928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137109409) 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 7 ways as a sum of consecutive naturals, for example, 15516 + ... + 22692.

It is an arithmetic number, because the mean of its divisors is an integer number (7536900).

Almost surely, 2^137109408 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 137109408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180885600).

137109408 is an abundant number, since it is smaller than the sum of its proper divisors (224661792).

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

137109408 is a wasteful number, since it uses less digits than its factorization.

137109408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 137109408 is about 11709.3726561247. The cubic root of 137109408 is about 515.6508665224.

The spelling of 137109408 in words is "one hundred thirty-seven million, one hundred nine thousand, four hundred eight".