137683200 has 216 divisors, whose sum is σ = 465345216. Its totient is φ = 35840000.

The previous prime is 137683199. The next prime is 137683211. The reversal of 137683200 is 2386731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363150 + ... + 1363250.

It is an arithmetic number, because the mean of its divisors is an integer number (2154376).

Almost surely, 2^137683200 is an apocalyptic number.

137683200 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 137683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232672608).

137683200 is an abundant number, since it is smaller than the sum of its proper divisors (327662016).

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

137683200 is a wasteful number, since it uses less digits than its factorization.

137683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 137683200 is about 11733.8484735401. The cubic root of 137683200 is about 516.3691847462.

The spelling of 137683200 in words is "one hundred thirty-seven million, six hundred eighty-three thousand, two hundred".