146064803040 has 768 divisors, whose sum is σ = 579400335360. Its totient is φ = 34116526080.

The previous prime is 146064803039. The next prime is 146064803057. The reversal of 146064803040 is 40308460641.

146064803040 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 648 + 0 + 3 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×146064803040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146064802986 and 146064803004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92270089 + ... + 92271671.

It is an arithmetic number, because the mean of its divisors is an integer number (754427520).

Almost surely, 2^146064803040 is an apocalyptic number.

146064803040 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 146064803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289700167680).

146064803040 is an abundant number, since it is smaller than the sum of its proper divisors (433335532320).

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

146064803040 is a wasteful number, since it uses less digits than its factorization.

146064803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 146064803040 in words is "one hundred forty-six billion, sixty-four million, eight hundred three thousand, forty".