138130668 has 72 divisors (see below), whose sum is σ = 388192896. Its totient is φ = 41126400.

The previous prime is 138130651. The next prime is 138130747. The reversal of 138130668 is 866031831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9748 + ... + 19268.

It is an arithmetic number, because the mean of its divisors is an integer number (5391568).

Almost surely, 2^138130668 is an apocalyptic number.

138130668 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 138130668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194096448).

138130668 is an abundant number, since it is smaller than the sum of its proper divisors (250062228).

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

138130668 is a wasteful number, since it uses less digits than its factorization.

138130668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9570 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138130668 is about 11752.9004079844. The cubic root of 138130668 is about 516.9279767777.

The spelling of 138130668 in words is "one hundred thirty-eight million, one hundred thirty thousand, six hundred sixty-eight".