137591412 has 72 divisors (see below), whose sum is σ = 375570720. Its totient is φ = 39090240.

The previous prime is 137591381. The next prime is 137591413. The reversal of 137591412 is 214195731.

137591412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137591413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123514 + ... + 124622.

It is an arithmetic number, because the mean of its divisors is an integer number (5216260).

Almost surely, 2^137591412 is an apocalyptic number.

137591412 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 137591412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187785360).

137591412 is an abundant number, since it is smaller than the sum of its proper divisors (237979308).

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

137591412 is a wasteful number, since it uses less digits than its factorization.

137591412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 137591412 is about 11729.9365727185. The cubic root of 137591412 is about 516.2544115299.

The spelling of 137591412 in words is "one hundred thirty-seven million, five hundred ninety-one thousand, four hundred twelve".