137130840 has 512 divisors, whose sum is σ = 609638400. Its totient is φ = 26542080.

The previous prime is 137130817. The next prime is 137130841. The reversal of 137130840 is 48031731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137130841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1413672 + ... + 1413768.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^137130840 is an apocalyptic number.

137130840 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 137130840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

137130840 is an abundant number, since it is smaller than the sum of its proper divisors (472507560).

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

137130840 is a wasteful number, since it uses less digits than its factorization.

137130840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137130840 is about 11710.2877846789. The cubic root of 137130840 is about 515.6777327887.

The spelling of 137130840 in words is "one hundred thirty-seven million, one hundred thirty thousand, eight hundred forty".