138314989890 has 1152 divisors, whose sum is σ = 510898752000. Its totient is φ = 25291284480.

The previous prime is 138314989859. The next prime is 138314989913. The reversal of 138314989890 is 98989413831.

138314989890 is a `hidden beast` number, since 1 + 38 + 31 + 498 + 9 + 89 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon 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 575 ways as a sum of consecutive naturals, for example, 1554100966 + ... + 1554101054.

It is an arithmetic number, because the mean of its divisors is an integer number (443488500).

Almost surely, 2^138314989890 is an apocalyptic number.

138314989890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138314989890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255449376000).

138314989890 is an abundant number, since it is smaller than the sum of its proper divisors (372583762110).

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

138314989890 is a wasteful number, since it uses less digits than its factorization.

138314989890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 138314989890 in words is "one hundred thirty-eight billion, three hundred fourteen million, nine hundred eighty-nine thousand, eight hundred ninety".