138004480 has 48 divisors (see below), whose sum is σ = 331154460. Its totient is φ = 55197696.

The previous prime is 138004411. The next prime is 138004507. The reversal of 138004480 is 84400831.

It can be written as a sum of positive squares in 2 ways, for example, as 137921536 + 82944 = 11744^2 + 288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3502 + ... + 16978.

Almost surely, 2^138004480 is an apocalyptic number.

138004480 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 138004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165577230).

138004480 is an abundant number, since it is smaller than the sum of its proper divisors (193149980).

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

138004480 is an equidigital number, since it uses as much as digits as its factorization.

138004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13504 (or 13484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 138004480 is about 11747.5308043861. The cubic root of 138004480 is about 516.7705172214.

The spelling of 138004480 in words is "one hundred thirty-eight million, four thousand, four hundred eighty".