146282976000 has 1728 divisors, whose sum is σ = 660890280960. Its totient is φ = 31203532800.

The previous prime is 146282975903. The next prime is 146282976001. The reversal of 146282976000 is 679282641.

It is a happy number.

146282976000 is a `hidden beast` number, since 14 + 6 + 2 + 8 + 29 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (146282976001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2183327967 + ... + 2183328033.

Almost surely, 2^146282976000 is an apocalyptic number.

146282976000 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 146282976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330445140480).

146282976000 is an abundant number, since it is smaller than the sum of its proper divisors (514607304960).

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

146282976000 is an equidigital number, since it uses as much as digits as its factorization.

146282976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 146282976000 in words is "one hundred forty-six billion, two hundred eighty-two million, nine hundred seventy-six thousand".