146827515872000 has 144 divisors (see below), whose sum is σ = 365858679487392. Its totient is φ = 58716075929600.

The previous prime is 146827515871963. The next prime is 146827515872027. The reversal of 146827515872000 is 278515728641.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125722754 + ... + 126885246.

It is an arithmetic number, because the mean of its divisors is an integer number (2540685274218).

Almost surely, 2^{146827515872000} is an apocalyptic number.

146827515872000 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 146827515872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182929339743696).

146827515872000 is an abundant number, since it is smaller than the sum of its proper divisors (219031163615392).

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

146827515872000 is an equidigital number, since it uses as much as digits as its factorization.

146827515872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166471 (or 1166447 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 56.

The spelling of 146827515872000 in words is "one hundred forty-six trillion, eight hundred twenty-seven billion, five hundred fifteen million, eight hundred seventy-two thousand".