138344815306432 has 112 divisors (see below), whose sum is σ = 322475550615808. Its totient is φ = 57643491732480.

The previous prime is 138344815306393. The next prime is 138344815306441. The reversal of 138344815306432 is 234603518443831.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18167203 + ... + 24632029.

Almost surely, 2^{138344815306432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138344815306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161237775307904).

138344815306432 is an abundant number, since it is smaller than the sum of its proper divisors (184130735309376).

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

138344815306432 is a wasteful number, since it uses less digits than its factorization.

138344815306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466174 (or 6466164 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 55.

The spelling of 138344815306432 in words is "one hundred thirty-eight trillion, three hundred forty-four billion, eight hundred fifteen million, three hundred six thousand, four hundred thirty-two".