137986512 has 80 divisors (see below), whose sum is σ = 380689920. Its totient is φ = 42940800.

The previous prime is 137986439. The next prime is 137986529. The reversal of 137986512 is 215689731.

It is a super-2 number, since 2×137986512² = 38080554987852288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63687 + ... + 65817.

It is an arithmetic number, because the mean of its divisors is an integer number (4758624).

Almost surely, 2^137986512 is an apocalyptic number.

137986512 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 137986512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190344960).

137986512 is an abundant number, since it is smaller than the sum of its proper divisors (242703408).

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

137986512 is a wasteful number, since it uses less digits than its factorization.

137986512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2226 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 137986512 is about 11746.7660230380. The cubic root of 137986512 is about 516.7480886363.

The spelling of 137986512 in words is "one hundred thirty-seven million, nine hundred eighty-six thousand, five hundred twelve".