146133504000 has 1248 divisors, whose sum is σ = 609048685440. Its totient is φ = 34283520000.

The previous prime is 146133503959. The next prime is 146133504061. The reversal of 146133504000 is 405331641.

146133504000 is a `hidden beast` number, since 1 + 4 + 613 + 3 + 5 + 0 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4713983985 + ... + 4713984015.

It is an arithmetic number, because the mean of its divisors is an integer number (488019780).

Almost surely, 2^146133504000 is an apocalyptic number.

146133504000 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 146133504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304524342720).

146133504000 is an abundant number, since it is smaller than the sum of its proper divisors (462915181440).

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

146133504000 is an equidigital number, since it uses as much as digits as its factorization.

146133504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 146133504000 its reverse (405331641), we get a palindrome (146538835641).

The spelling of 146133504000 in words is "one hundred forty-six billion, one hundred thirty-three million, five hundred four thousand".