138416688 has 70 divisors (see below), whose sum is σ = 402123444. Its totient is φ = 46135008.

The previous prime is 138416671. The next prime is 138416689. The reversal of 138416688 is 886614831.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138416689) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5731 + ... + 17597.

Almost surely, 2^138416688 is an apocalyptic number.

138416688 is a gapful number since it is divisible by the number (18) 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 138416688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201061722).

138416688 is an abundant number, since it is smaller than the sum of its proper divisors (263706756).

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

138416688 is an equidigital number, since it uses as much as digits as its factorization.

138416688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11872 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 138416688 is about 11765.0621757813. The cubic root of 138416688 is about 517.2845227682.

The spelling of 138416688 in words is "one hundred thirty-eight million, four hundred sixteen thousand, six hundred eighty-eight".