146055442176 has 432 divisors, whose sum is σ = 492166584000. Its totient is φ = 40796946432.

The previous prime is 146055442163. The next prime is 146055442193. The reversal of 146055442176 is 671244550641.

146055442176 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 554 + 4 + 21 + 76 = 666.

It is a super-2 number, since 2×146055442176² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139232500 + ... + 139233548.

It is an arithmetic number, because the mean of its divisors is an integer number (1139274500).

Almost surely, 2^146055442176 is an apocalyptic number.

146055442176 is a gapful number since it is divisible by the number (16) 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 146055442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246083292000).

146055442176 is an abundant number, since it is smaller than the sum of its proper divisors (346111141824).

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

146055442176 is a wasteful number, since it uses less digits than its factorization.

146055442176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 146055442176 in words is "one hundred forty-six billion, fifty-five million, four hundred forty-two thousand, one hundred seventy-six".