138700800 has 432 divisors, whose sum is σ = 580900320. Its totient is φ = 30965760.

The previous prime is 138700777. The next prime is 138700813. The reversal of 138700800 is 8007831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225579 + ... + 3225621.

Almost surely, 2^138700800 is an apocalyptic number.

138700800 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 138700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290450160).

138700800 is an abundant number, since it is smaller than the sum of its proper divisors (442199520).

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

138700800 is a wasteful number, since it uses less digits than its factorization.

138700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 138700800 is about 11777.1303805299. The cubic root of 138700800 is about 517.6382043535.

The spelling of 138700800 in words is "one hundred thirty-eight million, seven hundred thousand, eight hundred".