146582472960 has 2160 divisors, whose sum is σ = 692242068672. Its totient is φ = 29262643200.

The previous prime is 146582472941. The next prime is 146582472991. The reversal of 146582472960 is 69274285641.

146582472960 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 82 + 472 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 146582472897 and 146582472906.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 2402991330 + ... + 2402991390.

Almost surely, 2^146582472960 is an apocalyptic number.

146582472960 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 146582472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346121034336).

146582472960 is an abundant number, since it is smaller than the sum of its proper divisors (545659595712).

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

146582472960 is a wasteful number, since it uses less digits than its factorization.

146582472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 146582472960 in words is "one hundred forty-six billion, five hundred eighty-two million, four hundred seventy-two thousand, nine hundred sixty".