138950683200 has 1344 divisors, whose sum is σ = 620446003200. Its totient is φ = 29528064000.

The previous prime is 138950683187. The next prime is 138950683253. The reversal of 138950683200 is 2386059831.

It is a happy number.

138950683200 is a `hidden beast` number, since 1 + 389 + 5 + 0 + 68 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 776260711 + ... + 776260889.

Almost surely, 2^138950683200 is an apocalyptic number.

138950683200 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 138950683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310223001600).

138950683200 is an abundant number, since it is smaller than the sum of its proper divisors (481495320000).

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

138950683200 is a wasteful number, since it uses less digits than its factorization.

138950683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 138950683200 in words is "one hundred thirty-eight billion, nine hundred fifty million, six hundred eighty-three thousand, two hundred".