138447175680 has 720 divisors, whose sum is σ = 537091498944. Its totient is φ = 32699842560.

The previous prime is 138447175667. The next prime is 138447175697. The reversal of 138447175680 is 86571744831.

138447175680 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 4 + 71 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348733242 + ... + 348733638.

Almost surely, 2^138447175680 is an apocalyptic number.

138447175680 is a gapful number since it is divisible by the number (10) 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 138447175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268545749472).

138447175680 is an abundant number, since it is smaller than the sum of its proper divisors (398644323264).

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

138447175680 is a wasteful number, since it uses less digits than its factorization.

138447175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 138447175680 in words is "one hundred thirty-eight billion, four hundred forty-seven million, one hundred seventy-five thousand, six hundred eighty".