138607480 has 64 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 50117760.

The previous prime is 138607463. The next prime is 138607481. The reversal of 138607480 is 84706831.

It is a happy number.

138607480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138607481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86769 + ... + 88351.

It is an arithmetic number, because the mean of its divisors is an integer number (5346000).

Almost surely, 2^138607480 is an apocalyptic number.

138607480 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 138607480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

138607480 is an abundant number, since it is smaller than the sum of its proper divisors (203536520).

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

138607480 is a wasteful number, since it uses less digits than its factorization.

138607480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 138607480 is about 11773.1677980058. The cubic root of 138607480 is about 517.5220866984.

It can be divided in two parts, 13860 and 7480, that multiplied together give a triangular number (103672800 = T₁₄₃₉₉).

The spelling of 138607480 in words is "one hundred thirty-eight million, six hundred seven thousand, four hundred eighty".