146508064053120 has 2016 divisors, whose sum is σ = 671458021272360. Its totient is φ = 30442659287040.

The previous prime is 146508064053119. The next prime is 146508064053149. The reversal of 146508064053120 is 21350460805641.

146508064053120 is a `hidden beast` number, since 1 + 4 + 6 + 50 + 8 + 0 + 6 + 40 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×146508064053120² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2766207759 + ... + 2766260721.

Almost surely, 2^{146508064053120} is an apocalyptic number.

146508064053120 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 146508064053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335729010636180).

146508064053120 is an abundant number, since it is smaller than the sum of its proper divisors (524949957219240).

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

146508064053120 is an equidigital number, since it uses as much as digits as its factorization.

146508064053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53036 (or 52991 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 146508064053120 in words is "one hundred forty-six trillion, five hundred eight billion, sixty-four million, fifty-three thousand, one hundred twenty".