146713035300480 has 4096 divisors, whose sum is σ = 630257614848000. Its totient is φ = 31882346496000.

The previous prime is 146713035300463. The next prime is 146713035300523. The reversal of 146713035300480 is 84003530317641.

146713035300480 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 1 + 30 + 3 + 530 + 0 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 760171167264 + ... + 760171167456.

It is an arithmetic number, because the mean of its divisors is an integer number (153871488000).

Almost surely, 2^{146713035300480} is an apocalyptic number.

146713035300480 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 146713035300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315128807424000).

146713035300480 is an abundant number, since it is smaller than the sum of its proper divisors (483544579547520).

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

146713035300480 is a wasteful number, since it uses less digits than its factorization.

146713035300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 146713035300480 in words is "one hundred forty-six trillion, seven hundred thirteen billion, thirty-five million, three hundred thousand, four hundred eighty".