137994912 has 144 divisors (see below), whose sum is σ = 438486048. Its totient is φ = 40803840.

The previous prime is 137994907. The next prime is 137994931. The reversal of 137994912 is 219499731.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135718 + ... + 136730.

It is an arithmetic number, because the mean of its divisors is an integer number (3045042).

Almost surely, 2^137994912 is an apocalyptic number.

137994912 is a gapful number since it is divisible by the number (12) 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 137994912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219243024).

137994912 is an abundant number, since it is smaller than the sum of its proper divisors (300491136).

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

137994912 is a wasteful number, since it uses less digits than its factorization.

137994912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1072 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 137994912 is about 11747.1235628132. The cubic root of 137994912 is about 516.7585741923.

The spelling of 137994912 in words is "one hundred thirty-seven million, nine hundred ninety-four thousand, nine hundred twelve".