137012540 has 48 divisors (see below), whose sum is σ = 330789312. Its totient is φ = 46695936.

The previous prime is 137012483. The next prime is 137012543. The reversal of 137012540 is 45210731.

It is a super-2 number, since 2×137012540² = 37544872234503200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137012543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21392 + ... + 27048.

It is an arithmetic number, because the mean of its divisors is an integer number (6891444).

Almost surely, 2^137012540 is an apocalyptic number.

137012540 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 137012540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165394656).

137012540 is an abundant number, since it is smaller than the sum of its proper divisors (193776772).

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

137012540 is a wasteful number, since it uses less digits than its factorization.

137012540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 137012540 is about 11705.2355807134. The cubic root of 137012540 is about 515.5294018791.

The spelling of 137012540 in words is "one hundred thirty-seven million, twelve thousand, five hundred forty".