146380495360 has 120 divisors (see below), whose sum is σ = 385777878948. Its totient is φ = 53229158400.

The previous prime is 146380495279. The next prime is 146380495379. The reversal of 146380495360 is 63594083641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 137777561856 + 8602933504 = 371184^2 + 92752^2 .

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 11 ways as a sum of consecutive naturals, for example, 73480 + ... + 546040.

Almost surely, 2^146380495360 is an apocalyptic number.

146380495360 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 146380495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192888939474).

146380495360 is an abundant number, since it is smaller than the sum of its proper divisors (239397383588).

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

146380495360 is an equidigital number, since it uses as much as digits as its factorization.

146380495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472606 (or 472579 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 146380495360 in words is "one hundred forty-six billion, three hundred eighty million, four hundred ninety-five thousand, three hundred sixty".