146085093 has 64 divisors (see below), whose sum is σ = 279244800. Its totient is φ = 73241280.

The previous prime is 146085089. The next prime is 146085133. The reversal of 146085093 is 390580641.

146085093 is a `hidden beast` number, since 146 + 0 + 8 + 509 + 3 = 666.

It is not a de Polignac number, because 146085093 - 2² = 146085089 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146085193) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 59080 + ... + 61502.

It is an arithmetic number, because the mean of its divisors is an integer number (4363200).

Almost surely, 2^146085093 is an apocalyptic number.

It is an amenable number.

146085093 is a deficient number, since it is larger than the sum of its proper divisors (133159707).

146085093 is a wasteful number, since it uses less digits than its factorization.

146085093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 146085093 is about 12086.5666340777. The cubic root of 146085093 is about 526.6660217817. Note that the first 3 decimals are identical.

It can be divided in two parts, 14608 and 5093, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 146085093 in words is "one hundred forty-six million, eighty-five thousand, ninety-three".