137130600 has 192 divisors, whose sum is σ = 467827200. Its totient is φ = 33073920.

The previous prime is 137130599. The next prime is 137130601. The reversal of 137130600 is 6031731.

It is an interprime number because it is at equal distance from previous prime (137130599) and next prime (137130601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137130601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261939 + ... + 262461.

It is an arithmetic number, because the mean of its divisors is an integer number (2436600).

Almost surely, 2^137130600 is an apocalyptic number.

137130600 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 137130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233913600).

137130600 is an abundant number, since it is smaller than the sum of its proper divisors (330696600).

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

137130600 is a wasteful number, since it uses less digits than its factorization.

137130600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 137130600 is about 11710.2775372747. The cubic root of 137130600 is about 515.6774319501.

The spelling of 137130600 in words is "one hundred thirty-seven million, one hundred thirty thousand, six hundred".