146645145972 has 72 divisors (see below), whose sum is σ = 399267630216. Its totient is φ = 45114015744.

The previous prime is 146645145929. The next prime is 146645145989. The reversal of 146645145972 is 279541546641.

146645145972 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 4 + 514 + 59 + 72 = 666.

146645145972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7340034276 + 139305111696 = 85674^2 + 373236^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3186228 + ... + 3231924.

It is an arithmetic number, because the mean of its divisors is an integer number (5545383753).

Almost surely, 2^146645145972 is an apocalyptic number.

146645145972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146645145972 is an abundant number, since it is smaller than the sum of its proper divisors (252622484244).

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

146645145972 is a wasteful number, since it uses less digits than its factorization.

146645145972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52577 (or 52572 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 146645145972 in words is "one hundred forty-six billion, six hundred forty-five million, one hundred forty-five thousand, nine hundred seventy-two".