137970320 has 40 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 54250880.

The previous prime is 137970311. The next prime is 137970337. The reversal of 137970320 is 23079731.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9896 + ... + 19335.

It is an arithmetic number, because the mean of its divisors is an integer number (8155728).

Almost surely, 2^137970320 is an apocalyptic number.

137970320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137970320 is an abundant number, since it is smaller than the sum of its proper divisors (188258800).

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

137970320 is a wasteful number, since it uses less digits than its factorization.

137970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29303 (or 29297 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 137970320 is about 11746.0767918484. The cubic root of 137970320 is about 516.7278752782.

The spelling of 137970320 in words is "one hundred thirty-seven million, nine hundred seventy thousand, three hundred twenty".