137107040 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 41803776.

The previous prime is 137107039. The next prime is 137107043. The reversal of 137107040 is 40701731.

It is a junction number, because it is equal to n+sod(n) for n = 137106997 and 137107015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137107043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361571 + ... + 361949.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^137107040 is an apocalyptic number.

137107040 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 137107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

137107040 is an abundant number, since it is smaller than the sum of its proper divisors (276576160).

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

137107040 is a wasteful number, since it uses less digits than its factorization.

137107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 137107040 is about 11709.2715401087. The cubic root of 137107040 is about 515.6478979241.

Adding to 137107040 its reverse (40701731), we get a palindrome (177808771).

The spelling of 137107040 in words is "one hundred thirty-seven million, one hundred seven thousand, forty".