146731971640320 has 2112 divisors, whose sum is σ = 587113535264256. Its totient is φ = 34841894584320.

The previous prime is 146731971640279. The next prime is 146731971640337. The reversal of 146731971640320 is 23046179137641.

146731971640320 is a `hidden beast` number, since 1 + 4 + 6 + 73 + 1 + 97 + 164 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142044502524 + ... + 142044503556.

It is an arithmetic number, because the mean of its divisors is an integer number (277989363288).

Almost surely, 2^{146731971640320} is an apocalyptic number.

146731971640320 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 146731971640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293556767632128).

146731971640320 is an abundant number, since it is smaller than the sum of its proper divisors (440381563623936).

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

146731971640320 is a wasteful number, since it uses less digits than its factorization.

146731971640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 146731971640320 in words is "one hundred forty-six trillion, seven hundred thirty-one billion, nine hundred seventy-one million, six hundred forty thousand, three hundred twenty".