138400229952 has 42 divisors (see below), whose sum is σ = 396699271878. Its totient is φ = 46133409792.

The previous prime is 138400229911. The next prime is 138400229963. The reversal of 138400229952 is 259922004831.

138400229952 is a `hidden beast` number, since 13 + 8 + 400 + 229 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137296927296 + 1103302656 = 370536^2 + 33216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 138400229898 and 138400229907.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120138513 + ... + 120139664.

It is an arithmetic number, because the mean of its divisors is an integer number (9445220759).

Almost surely, 2^138400229952 is an apocalyptic number.

138400229952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138400229952 is an abundant number, since it is smaller than the sum of its proper divisors (258299041926).

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

138400229952 is a wasteful number, since it uses less digits than its factorization.

138400229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240278195 (or 240278182 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 138400229952 in words is "one hundred thirty-eight billion, four hundred million, two hundred twenty-nine thousand, nine hundred fifty-two".