137089300 has 36 divisors (see below), whose sum is σ = 300236860. Its totient is φ = 54328320.

The previous prime is 137089297. The next prime is 137089301. The reversal of 137089300 is 3980731.

It can be written as a sum of positive squares in 6 ways, for example, as 5895184 + 131194116 = 2428^2 + 11454^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137089301) 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 11 ways as a sum of consecutive naturals, for example, 4612 + ... + 17188.

Almost surely, 2^137089300 is an apocalyptic number.

137089300 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 137089300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150118430).

137089300 is an abundant number, since it is smaller than the sum of its proper divisors (163147560).

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

137089300 is a wasteful number, since it uses less digits than its factorization.

137089300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12700 (or 12693 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 137089300 is about 11708.5139962337. The cubic root of 137089300 is about 515.6256574219.

The spelling of 137089300 in words is "one hundred thirty-seven million, eighty-nine thousand, three hundred".