138114480 has 160 divisors (see below), whose sum is σ = 492825600. Its totient is φ = 31343616.

The previous prime is 138114469. The next prime is 138114497. The reversal of 138114480 is 84411831.

138114480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384541 + ... + 384899.

It is an arithmetic number, because the mean of its divisors is an integer number (3080160).

Almost surely, 2^138114480 is an apocalyptic number.

138114480 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 138114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246412800).

138114480 is an abundant number, since it is smaller than the sum of its proper divisors (354711120).

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

138114480 is a wasteful number, since it uses less digits than its factorization.

138114480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 138114480 is about 11752.2117067384. The cubic root of 138114480 is about 516.9077824764.

The spelling of 138114480 in words is "one hundred thirty-eight million, one hundred fourteen thousand, four hundred eighty".