137113970 has 64 divisors (see below), whose sum is σ = 289910016. Its totient is φ = 45722880.

The previous prime is 137113969. The next prime is 137113981. The reversal of 137113970 is 79311731.

It is a super-3 number, since 3×137113970³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 695912 + ... + 696108.

It is an arithmetic number, because the mean of its divisors is an integer number (4529844).

Almost surely, 2^137113970 is an apocalyptic number.

137113970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137113970 is an abundant number, since it is smaller than the sum of its proper divisors (152796046).

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

137113970 is a wasteful number, since it uses less digits than its factorization.

137113970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 3969, while the sum is 32.

The square root of 137113970 is about 11709.5674557176. The cubic root of 137113970 is about 515.6565854909.

The spelling of 137113970 in words is "one hundred thirty-seven million, one hundred thirteen thousand, nine hundred seventy".