138882240 has 252 divisors, whose sum is σ = 552596304. Its totient is φ = 31362048.

The previous prime is 138882209. The next prime is 138882251. The reversal of 138882240 is 42288831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a junction number, because it is equal to n+sod(n) for n = 138882195 and 138882204.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1673239 + ... + 1673321.

Almost surely, 2^138882240 is an apocalyptic number.

138882240 is a gapful number since it is divisible by the number (10) 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 138882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276298152).

138882240 is an abundant number, since it is smaller than the sum of its proper divisors (413714064).

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

138882240 is an equidigital number, since it uses as much as digits as its factorization.

138882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 138882240 is about 11784.8309279344. The cubic root of 138882240 is about 517.8638203363.

The spelling of 138882240 in words is "one hundred thirty-eight million, eight hundred eighty-two thousand, two hundred forty".