138196992 has 96 divisors (see below), whose sum is σ = 374250240. Its totient is φ = 45342720.

The previous prime is 138196979. The next prime is 138196999. The reversal of 138196992 is 299691831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138196999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509817 + ... + 510087.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2^138196992 is an apocalyptic number.

138196992 is a gapful number since it is divisible by the number (12) 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 138196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

138196992 is an abundant number, since it is smaller than the sum of its proper divisors (236053248).

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

138196992 is an equidigital number, since it uses as much as digits as its factorization.

138196992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 138196992 is about 11755.7216707440. The cubic root of 138196992 is about 517.0106985603.

The spelling of 138196992 in words is "one hundred thirty-eight million, one hundred ninety-six thousand, nine hundred ninety-two".