146149311 has 96 divisors (see below), whose sum is σ = 267909120. Its totient is φ = 69854400.

The previous prime is 146149307. The next prime is 146149319. The reversal of 146149311 is 113941641.

It is not a de Polignac number, because 146149311 - 2² = 146149307 is a prime.

It is a super-2 number, since 2×146149311² = 42719242211549442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146149319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2058406 + ... + 2058476.

It is an arithmetic number, because the mean of its divisors is an integer number (2790720).

Almost surely, 2^146149311 is an apocalyptic number.

146149311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146149311 is a deficient number, since it is larger than the sum of its proper divisors (121759809).

146149311 is a wasteful number, since it uses less digits than its factorization.

146149311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 146149311 is about 12089.2229278808. Note that the first 3 decimals coincide. The cubic root of 146149311 is about 526.7431833939.

The spelling of 146149311 in words is "one hundred forty-six million, one hundred forty-nine thousand, three hundred eleven".