138096672 has 96 divisors (see below), whose sum is σ = 419126400. Its totient is φ = 38995968.

The previous prime is 138096671. The next prime is 138096677. The reversal of 138096672 is 276690831.

It is a happy number.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (138096671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58654 + ... + 60962.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^138096672 is an apocalyptic number.

138096672 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 138096672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

138096672 is an abundant number, since it is smaller than the sum of its proper divisors (281029728).

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

138096672 is a wasteful number, since it uses less digits than its factorization.

138096672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 138096672 is about 11751.4540376925. The cubic root of 138096672 is about 516.8855654251.

The spelling of 138096672 in words is "one hundred thirty-eight million, ninety-six thousand, six hundred seventy-two".