137500800 has 96 divisors (see below), whose sum is σ = 452924880. Its totient is φ = 36664320.

The previous prime is 137500787. The next prime is 137500837. The reversal of 137500800 is 8005731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2439 + ... + 16761.

Almost surely, 2^137500800 is an apocalyptic number.

137500800 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 137500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226462440).

137500800 is an abundant number, since it is smaller than the sum of its proper divisors (315424080).

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

137500800 is a wasteful number, since it uses less digits than its factorization.

137500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14350 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 137500800 is about 11726.0735116236. The cubic root of 137500800 is about 516.1410587251.

The spelling of 137500800 in words is "one hundred thirty-seven million, five hundred thousand, eight hundred".