138006468 has 18 divisors (see below), whose sum is σ = 348849774. Its totient is φ = 46002144.

The previous prime is 138006431. The next prime is 138006469. The reversal of 138006468 is 864600831.

It is a happy number.

138006468 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 0 + 646 + 8 = 666.

138006468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 136609344 + 1397124 = 11688^2 + 1182^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3833513 = 138006468 / (1 + 3 + 8 + 0 + 0 + 6 + 4 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (138006469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1916721 + ... + 1916792.

It is an arithmetic number, because the mean of its divisors is an integer number (19380543).

Almost surely, 2^138006468 is an apocalyptic number.

138006468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138006468 is an abundant number, since it is smaller than the sum of its proper divisors (210843306).

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

138006468 is a wasteful number, since it uses less digits than its factorization.

138006468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833523 (or 3833518 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 138006468 is about 11747.6154176071. The cubic root of 138006468 is about 516.7729986260.

The spelling of 138006468 in words is "one hundred thirty-eight million, six thousand, four hundred sixty-eight".