138880896 has 288 divisors, whose sum is σ = 479422440. Its totient is φ = 35481600.

The previous prime is 138880879. The next prime is 138880897. The reversal of 138880896 is 698088831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138880897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2276706 + ... + 2276766.

Almost surely, 2^138880896 is an apocalyptic number.

138880896 is a gapful number since it is divisible by the number (16) 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 138880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239711220).

138880896 is an abundant number, since it is smaller than the sum of its proper divisors (340541544).

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

138880896 is a wasteful number, since it uses less digits than its factorization.

138880896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 138880896 is about 11784.7739053407. The cubic root of 138880896 is about 517.8621498294.

The spelling of 138880896 in words is "one hundred thirty-eight million, eight hundred eighty thousand, eight hundred ninety-six".