138090312864 has 384 divisors, whose sum is σ = 468620328960. Its totient is φ = 38745907200.

The previous prime is 138090312799. The next prime is 138090312917. The reversal of 138090312864 is 468213090831.

138090312864 is a `hidden beast` number, since 1 + 380 + 90 + 3 + 128 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151580569 + ... + 151581479.

It is an arithmetic number, because the mean of its divisors is an integer number (1220365440).

Almost surely, 2^138090312864 is an apocalyptic number.

138090312864 is a gapful number since it is divisible by the number (14) 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 138090312864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234310164480).

138090312864 is an abundant number, since it is smaller than the sum of its proper divisors (330530016096).

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

138090312864 is a wasteful number, since it uses less digits than its factorization.

138090312864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 138090312864 in words is "one hundred thirty-eight billion, ninety million, three hundred twelve thousand, eight hundred sixty-four".