138793680 has 120 divisors (see below), whose sum is σ = 477061728. Its totient is φ = 36142848.

The previous prime is 138793663. The next prime is 138793687. The reversal of 138793680 is 86397831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138793687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28719 + ... + 33201.

Almost surely, 2^138793680 is an apocalyptic number.

138793680 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 138793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238530864).

138793680 is an abundant number, since it is smaller than the sum of its proper divisors (338268048).

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

138793680 is a wasteful number, since it uses less digits than its factorization.

138793680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4536 counting only the distinct ones).

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

The square root of 138793680 is about 11781.0729562294. The cubic root of 138793680 is about 517.7537228140.

The spelling of 138793680 in words is "one hundred thirty-eight million, seven hundred ninety-three thousand, six hundred eighty".