138091894200 has 1728 divisors, whose sum is σ = 588764816640. Its totient is φ = 29889699840.

The previous prime is 138091894111. The next prime is 138091894261. The reversal of 138091894200 is 2498190831.

138091894200 is a `hidden beast` number, since 138 + 0 + 91 + 8 + 9 + 420 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3211439379 + ... + 3211439421.

It is an arithmetic number, because the mean of its divisors is an integer number (340720380).

Almost surely, 2^138091894200 is an apocalyptic number.

138091894200 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 138091894200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294382408320).

138091894200 is an abundant number, since it is smaller than the sum of its proper divisors (450672922440).

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

138091894200 is a wasteful number, since it uses less digits than its factorization.

138091894200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 138091894200 in words is "one hundred thirty-eight billion, ninety-one million, eight hundred ninety-four thousand, two hundred".