138814603200 has 672 divisors, whose sum is σ = 622824581120. Its totient is φ = 29287526400.

The previous prime is 138814603177. The next prime is 138814603201. The reversal of 138814603200 is 2306418831.

138814603200 is a `hidden beast` number, since 1 + 38 + 8 + 14 + 603 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138814603201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3913545 + ... + 3948855.

Almost surely, 2^138814603200 is an apocalyptic number.

138814603200 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 138814603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311412290560).

138814603200 is an abundant number, since it is smaller than the sum of its proper divisors (484009977920).

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

138814603200 is a wasteful number, since it uses less digits than its factorization.

138814603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35362 (or 35341 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 138814603200 in words is "one hundred thirty-eight billion, eight hundred fourteen million, six hundred three thousand, two hundred".