138670146720 has 864 divisors, whose sum is σ = 569947891968. Its totient is φ = 31227420672.

The previous prime is 138670146707. The next prime is 138670146731. The reversal of 138670146720 is 27641076831.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 830360077 + ... + 830360243.

It is an arithmetic number, because the mean of its divisors is an integer number (659661912).

Almost surely, 2^138670146720 is an apocalyptic number.

138670146720 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 138670146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284973945984).

138670146720 is an abundant number, since it is smaller than the sum of its proper divisors (431277745248).

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

138670146720 is an equidigital number, since it uses as much as digits as its factorization.

138670146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

It can be divided in two parts, 138670 and 146720, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 138670146720 in words is "one hundred thirty-eight billion, six hundred seventy million, one hundred forty-six thousand, seven hundred twenty".