138766617990 has 1024 divisors, whose sum is σ = 532765900800. Its totient is φ = 24746342400.

The previous prime is 138766617973. The next prime is 138766618021. The reversal of 138766617990 is 99716667831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 313242709 + ... + 313243151.

It is an arithmetic number, because the mean of its divisors is an integer number (520279200).

Almost surely, 2^138766617990 is an apocalyptic number.

138766617990 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 138766617990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266382950400).

138766617990 is an abundant number, since it is smaller than the sum of its proper divisors (393999282810).

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

138766617990 is a wasteful number, since it uses less digits than its factorization.

138766617990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 138766617990 in words is "one hundred thirty-eight billion, seven hundred sixty-six million, six hundred seventeen thousand, nine hundred ninety".