137986520 has 64 divisors (see below), whose sum is σ = 355924800. Its totient is φ = 47162880.

The previous prime is 137986439. The next prime is 137986529. The reversal of 137986520 is 25689731.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137986529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 128546 + ... + 129614.

It is an arithmetic number, because the mean of its divisors is an integer number (5561325).

Almost surely, 2^137986520 is an apocalyptic number.

137986520 is a gapful number since it is divisible by the number (10) 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 137986520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177962400).

137986520 is an abundant number, since it is smaller than the sum of its proper divisors (217938280).

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

137986520 is a wasteful number, since it uses less digits than its factorization.

137986520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 137986520 is about 11746.7663635572. The cubic root of 137986520 is about 516.7480986228.

The spelling of 137986520 in words is "one hundred thirty-seven million, nine hundred eighty-six thousand, five hundred twenty".