138013308 has 72 divisors (see below), whose sum is σ = 365444352. Its totient is φ = 45540144.

The previous prime is 138013307. The next prime is 138013319. The reversal of 138013308 is 803310831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138013301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103341 + ... + 104667.

It is an arithmetic number, because the mean of its divisors is an integer number (5075616).

Almost surely, 2^138013308 is an apocalyptic number.

138013308 is a gapful number since it is divisible by the number (18) 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 138013308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182722176).

138013308 is an abundant number, since it is smaller than the sum of its proper divisors (227431044).

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

138013308 is a wasteful number, since it uses less digits than its factorization.

138013308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138013308 is about 11747.9065369112. The cubic root of 138013308 is about 516.7815360735.

The spelling of 138013308 in words is "one hundred thirty-eight million, thirteen thousand, three hundred eight".