137290320 has 120 divisors (see below), whose sum is σ = 476017152. Its totient is φ = 35424000.

The previous prime is 137290301. The next prime is 137290327. The reversal of 137290320 is 23092731.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137290327) 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 23 ways as a sum of consecutive naturals, for example, 19245 + ... + 25395.

Almost surely, 2^137290320 is an apocalyptic number.

137290320 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 137290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238008576).

137290320 is an abundant number, since it is smaller than the sum of its proper divisors (338726832).

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

137290320 is a wasteful number, since it uses less digits than its factorization.

137290320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 137290320 is about 11717.0952031636. The cubic root of 137290320 is about 515.8775624410.

The spelling of 137290320 in words is "one hundred thirty-seven million, two hundred ninety thousand, three hundred twenty".