138114648 has 96 divisors (see below), whose sum is σ = 450028800. Its totient is φ = 37381824.

The previous prime is 138114619. The next prime is 138114649. The reversal of 138114648 is 846411831.

It is a happy number.

138114648 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 1 + 4 + 648 = 666.

138114648 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138114649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365 + ... + 16787.

It is an arithmetic number, because the mean of its divisors is an integer number (4687800).

Almost surely, 2^138114648 is an apocalyptic number.

138114648 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 138114648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225014400).

138114648 is an abundant number, since it is smaller than the sum of its proper divisors (311914152).

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

138114648 is a wasteful number, since it uses less digits than its factorization.

138114648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14461 (or 14454 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 138114648 is about 11752.2188543270. The cubic root of 138114648 is about 516.9079920621.

The spelling of 138114648 in words is "one hundred thirty-eight million, one hundred fourteen thousand, six hundred forty-eight".