137986352 has 60 divisors (see below), whose sum is σ = 315388296. Its totient is φ = 58302720.

The previous prime is 137986351. The next prime is 137986391. The reversal of 137986352 is 253689731.

It is not an unprimeable number, because it can be changed into a prime (137986351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56027 + ... + 58437.

Almost surely, 2^137986352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137986352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157694148).

137986352 is an abundant number, since it is smaller than the sum of its proper divisors (177401944).

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

137986352 is a wasteful number, since it uses less digits than its factorization.

137986352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2493 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 137986352 is about 11746.7592126510. The cubic root of 137986352 is about 516.7478889073.

The spelling of 137986352 in words is "one hundred thirty-seven million, nine hundred eighty-six thousand, three hundred fifty-two".