138768192 has 84 divisors (see below), whose sum is σ = 401787360. Its totient is φ = 45787392.

The previous prime is 138768173. The next prime is 138768199. The reversal of 138768192 is 291867831.

It is a super-2 number, since 2×138768192² = 38513222221897728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138768199) 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 11 ways as a sum of consecutive naturals, for example, 58159 + ... + 60497.

Almost surely, 2^138768192 is an apocalyptic number.

138768192 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 138768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200893680).

138768192 is an abundant number, since it is smaller than the sum of its proper divisors (263019168).

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

138768192 is a wasteful number, since it uses less digits than its factorization.

138768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2447 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 138768192 is about 11779.9911714738. The cubic root of 138768192 is about 517.7220275313.

The spelling of 138768192 in words is "one hundred thirty-eight million, seven hundred sixty-eight thousand, one hundred ninety-two".