137300800 has 336 divisors, whose sum is σ = 444471552. Its totient is φ = 40550400.

The previous prime is 137300791. The next prime is 137300803. The reversal of 137300800 is 8003731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137300803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3348780 + ... + 3348820.

It is an arithmetic number, because the mean of its divisors is an integer number (1322832).

Almost surely, 2^137300800 is an apocalyptic number.

137300800 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 137300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222235776).

137300800 is an abundant number, since it is smaller than the sum of its proper divisors (307170752).

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

137300800 is a wasteful number, since it uses less digits than its factorization.

137300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 137300800 is about 11717.5424044464. The cubic root of 137300800 is about 515.8906885407.

The spelling of 137300800 in words is "one hundred thirty-seven million, three hundred thousand, eight hundred".