146146312500 has 168 divisors, whose sum is σ = 444800556480. Its totient is φ = 37276800000.

The previous prime is 146146312447. The next prime is 146146312531. The reversal of 146146312500 is 5213641641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4295556 + ... + 4329444.

It is an arithmetic number, because the mean of its divisors is an integer number (2647622360).

Almost surely, 2^146146312500 is an apocalyptic number.

146146312500 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 146146312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222400278240).

146146312500 is an abundant number, since it is smaller than the sum of its proper divisors (298654243980).

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

146146312500 is an equidigital number, since it uses as much as digits as its factorization.

146146312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33949 (or 33922 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 146146312500 in words is "one hundred forty-six billion, one hundred forty-six million, three hundred twelve thousand, five hundred".