137087406 has 48 divisors (see below), whose sum is σ = 312328224. Its totient is φ = 43372032.

The previous prime is 137087399. The next prime is 137087407. The reversal of 137087406 is 604780731.

137087406 is digitally balanced in base 2 and base 3, because in such bases 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 (137087407) 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, 55510 + ... + 57926.

It is an arithmetic number, because the mean of its divisors is an integer number (6506838).

Almost surely, 2^137087406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137087406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156164112).

137087406 is an abundant number, since it is smaller than the sum of its proper divisors (175240818).

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

137087406 is a wasteful number, since it uses less digits than its factorization.

137087406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137087406 is about 11708.4331146401. The cubic root of 137087406 is about 515.6232828152.

The spelling of 137087406 in words is "one hundred thirty-seven million, eighty-seven thousand, four hundred six".