138070127232 has 448 divisors, whose sum is σ = 433457568000. Its totient is φ = 43729735680.

The previous prime is 138070127197. The next prime is 138070127269. The reversal of 138070127232 is 232721070831.

138070127232 is a `hidden beast` number, since 1 + 380 + 7 + 0 + 1 + 272 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 170667244 + ... + 170668052.

Almost surely, 2^138070127232 is an apocalyptic number.

138070127232 is a gapful number since it is divisible by the number (12) 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 138070127232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216728784000).

138070127232 is an abundant number, since it is smaller than the sum of its proper divisors (295387440768).

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

138070127232 is an frugal number, since it uses more digits than its factorization.

138070127232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 138070127232 in words is "one hundred thirty-eight billion, seventy million, one hundred twenty-seven thousand, two hundred thirty-two".