137085300 has 216 divisors, whose sum is σ = 478531872. Its totient is φ = 32544000.

The previous prime is 137085293. The next prime is 137085307. The reversal of 137085300 is 3580731.

137085300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137085293) and next prime (137085307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137085307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 603787 + ... + 604013.

Almost surely, 2^137085300 is an apocalyptic number.

137085300 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 137085300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239265936).

137085300 is an abundant number, since it is smaller than the sum of its proper divisors (341446572).

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

137085300 is a wasteful number, since it uses less digits than its factorization.

137085300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137085300 is about 11708.3431791180. The cubic root of 137085300 is about 515.6206423874.

The spelling of 137085300 in words is "one hundred thirty-seven million, eighty-five thousand, three hundred".