138107480 has 96 divisors (see below), whose sum is σ = 373299840. Its totient is φ = 45803520.

The previous prime is 138107471. The next prime is 138107509. The reversal of 138107480 is 84701831.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59624 + ... + 61896.

It is an arithmetic number, because the mean of its divisors is an integer number (3888540).

Almost surely, 2^138107480 is an apocalyptic number.

138107480 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 138107480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186649920).

138107480 is an abundant number, since it is smaller than the sum of its proper divisors (235192360).

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

138107480 is a wasteful number, since it uses less digits than its factorization.

138107480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 138107480 is about 11751.9138866825. The cubic root of 138107480 is about 516.8990495865.

The spelling of 138107480 in words is "one hundred thirty-eight million, one hundred seven thousand, four hundred eighty".