146240854800 has 120 divisors (see below), whose sum is σ = 468747292896. Its totient is φ = 38973496320.

The previous prime is 146240854787. The next prime is 146240854801. The reversal of 146240854800 is 8458042641.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×146240854800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146240854801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1951627 + ... + 2025173.

Almost surely, 2^146240854800 is an apocalyptic number.

146240854800 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 146240854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234373646448).

146240854800 is an abundant number, since it is smaller than the sum of its proper divisors (322506438096).

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

146240854800 is a wasteful number, since it uses less digits than its factorization.

146240854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75225 (or 75214 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 146240854800 in words is "one hundred forty-six billion, two hundred forty million, eight hundred fifty-four thousand, eight hundred".