146096832000 has 960 divisors, whose sum is σ = 577665152064. Its totient is φ = 32651673600.

The previous prime is 146096831983. The next prime is 146096832017. The reversal of 146096832000 is 238690641.

It is an interprime number because it is at equal distance from previous prime (146096831983) and next prime (146096832017).

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 146096832000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498623854 + ... + 498624146.

Almost surely, 2^146096832000 is an apocalyptic number.

146096832000 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 146096832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288832576032).

146096832000 is an abundant number, since it is smaller than the sum of its proper divisors (431568320064).

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

146096832000 is an equidigital number, since it uses as much as digits as its factorization.

146096832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 146096832000 in words is "one hundred forty-six billion, ninety-six million, eight hundred thirty-two thousand".