138007800 has 240 divisors, whose sum is σ = 548246160. Its totient is φ = 31518720.

The previous prime is 138007789. The next prime is 138007829. The reversal of 138007800 is 8700831.

138007800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 112792 + ... + 114008.

It is an arithmetic number, because the mean of its divisors is an integer number (2284359).

Almost surely, 2^138007800 is an apocalyptic number.

138007800 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 138007800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274123080).

138007800 is an abundant number, since it is smaller than the sum of its proper divisors (410238360).

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

138007800 is a wasteful number, since it uses less digits than its factorization.

138007800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1234 counting only the distinct ones).

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

The square root of 138007800 is about 11747.6721098267. The cubic root of 138007800 is about 516.7746612037.

The spelling of 138007800 in words is "one hundred thirty-eight million, seven thousand, eight hundred".