138170833920 has 528 divisors, whose sum is σ = 553415129280. Its totient is φ = 31220563968.

The previous prime is 138170833909. The next prime is 138170833973. The reversal of 138170833920 is 29338071831.

It is a happy number.

138170833920 is a `hidden beast` number, since 13 + 8 + 170 + 83 + 392 + 0 = 666.

It is a super-2 number, since 2×138170833920² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28705434 + ... + 28710246.

Almost surely, 2^138170833920 is an apocalyptic number.

138170833920 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 138170833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276707564640).

138170833920 is an abundant number, since it is smaller than the sum of its proper divisors (415244295360).

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

138170833920 is a wasteful number, since it uses less digits than its factorization.

138170833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 138170833920 in words is "one hundred thirty-eight billion, one hundred seventy million, eight hundred thirty-three thousand, nine hundred twenty".