146147208912 has 60 divisors (see below), whose sum is σ = 423112980420. Its totient is φ = 47035881984.

The previous prime is 146147208881. The next prime is 146147208947. The reversal of 146147208912 is 219802741641.

146147208912 is a `hidden beast` number, since 1 + 4 + 614 + 7 + 20 + 8 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120911980176 + 25235228736 = 347724^2 + 158856^2 .

It is a super-3 number, since 3×146147208912³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17494293 + ... + 17502644.

It is an arithmetic number, because the mean of its divisors is an integer number (7051883007).

Almost surely, 2^146147208912 is an apocalyptic number.

146147208912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146147208912 is an abundant number, since it is smaller than the sum of its proper divisors (276965771508).

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

146147208912 is a wasteful number, since it uses less digits than its factorization.

146147208912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34996980 (or 34996971 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 146147208912 in words is "one hundred forty-six billion, one hundred forty-seven million, two hundred eight thousand, nine hundred twelve".