138400453742232 has 32 divisors (see below), whose sum is σ = 377455782934080. Its totient is φ = 41939531436960.

The previous prime is 138400453742209. The next prime is 138400453742251. The reversal of 138400453742232 is 232247354004831.

It is a happy number.

It is a super-3 number, since 3×138400453742232³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262122071218 + ... + 262122071745.

It is an arithmetic number, because the mean of its divisors is an integer number (11795493216690).

Almost surely, 2^{138400453742232} is an apocalyptic number.

138400453742232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138400453742232 is an abundant number, since it is smaller than the sum of its proper divisors (239055329191848).

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

138400453742232 is a wasteful number, since it uses less digits than its factorization.

138400453742232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524244142983 (or 524244142979 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 138400453742232 in words is "one hundred thirty-eight trillion, four hundred billion, four hundred fifty-three million, seven hundred forty-two thousand, two hundred thirty-two".