146385801 has 27 divisors (see below), whose sum is σ = 219327381. Its totient is φ = 94081824.

The previous prime is 146385791. The next prime is 146385809. The reversal of 146385801 is 108583641.

The square root of 146385801 is 12099.

It is a perfect power (a square), and thus also a powerful number.

146385801 is a `hidden beast` number, since 1 + 46 + 38 + 580 + 1 = 666.

146385801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54686025 + 91699776 = 7395^2 + 9576^2 .

It is not a de Polignac number, because 146385801 - 2⁵ = 146385769 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (146385809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1342935 + ... + 1343043.

Almost surely, 2^146385801 is an apocalyptic number.

146385801 is the 12099-th square number.

146385801 is the 6050-th centered octagonal number.

It is an amenable number.

146385801 is a deficient number, since it is larger than the sum of its proper divisors (72941580).

146385801 is an equidigital number, since it uses as much as digits as its factorization.

146385801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The cubic root of 146385801 is about 527.0271449687.

Multiplying 146385801 by its sum of digits (36), we get a square (5269888836 = 72594²).

The spelling of 146385801 in words is "one hundred forty-six million, three hundred eighty-five thousand, eight hundred one".