137190320 has 40 divisors (see below), whose sum is σ = 322144560. Its totient is φ = 54329600.

The previous prime is 137190311. The next prime is 137190349. The reversal of 137190320 is 23091731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 137190320.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 410 + ... + 16569.

It is an arithmetic number, because the mean of its divisors is an integer number (8053614).

Almost surely, 2^137190320 is an apocalyptic number.

137190320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137190320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161072280).

137190320 is an abundant number, since it is smaller than the sum of its proper divisors (184954240).

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

137190320 is a wasteful number, since it uses less digits than its factorization.

137190320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17093 (or 17087 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 137190320 is about 11712.8271565835. The cubic root of 137190320 is about 515.7522797880.

The spelling of 137190320 in words is "one hundred thirty-seven million, one hundred ninety thousand, three hundred twenty".