138753800 has 48 divisors (see below), whose sum is σ = 325844100. Its totient is φ = 54944000.

The previous prime is 138753773. The next prime is 138753829. The reversal of 138753800 is 8357831.

It can be written as a sum of positive squares in 6 ways, for example, as 44702596 + 94051204 = 6686^2 + 9698^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16766 + ... + 23634.

Almost surely, 2^138753800 is an apocalyptic number.

138753800 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 138753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162922050).

138753800 is an abundant number, since it is smaller than the sum of its proper divisors (187090300).

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

138753800 is a wasteful number, since it uses less digits than its factorization.

138753800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6986 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 138753800 is about 11779.3802893021. The cubic root of 138753800 is about 517.7041288258.

The spelling of 138753800 in words is "one hundred thirty-eight million, seven hundred fifty-three thousand, eight hundred".