138632480 has 96 divisors (see below), whose sum is σ = 383564160. Its totient is φ = 46356480.

The previous prime is 138632449. The next prime is 138632503. The reversal of 138632480 is 84236831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 138632480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44411 + ... + 47429.

It is an arithmetic number, because the mean of its divisors is an integer number (3995460).

Almost surely, 2^138632480 is an apocalyptic number.

138632480 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 138632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191782080).

138632480 is an abundant number, since it is smaller than the sum of its proper divisors (244931680).

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

138632480 is a wasteful number, since it uses less digits than its factorization.

138632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 138632480 is about 11774.2294864675. The cubic root of 138632480 is about 517.5531991954.

The spelling of 138632480 in words is "one hundred thirty-eight million, six hundred thirty-two thousand, four hundred eighty".