146932876120320 has 216 divisors, whose sum is σ = 509150990229336. Its totient is φ = 39122095079424.

The previous prime is 146932876120297. The next prime is 146932876120321. The reversal of 146932876120320 is 23021678239641.

146932876120320 is a `hidden beast` number, since 1 + 46 + 9 + 328 + 76 + 1 + 203 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6127882407936 + 140804993712384 = 2475456^2 + 11866128^2 .

It is not an unprimeable number, because it can be changed into a prime (146932876120321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2243589 + ... + 17288708.

It is an arithmetic number, because the mean of its divisors is an integer number (2357180510321).

Almost surely, 2^{146932876120320} is an apocalyptic number.

146932876120320 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 146932876120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254575495114668).

146932876120320 is an abundant number, since it is smaller than the sum of its proper divisors (362218114109016).

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

146932876120320 is a wasteful number, since it uses less digits than its factorization.

146932876120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19532977 (or 19532960 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 146932876120320 in words is "one hundred forty-six trillion, nine hundred thirty-two billion, eight hundred seventy-six million, one hundred twenty thousand, three hundred twenty".