146886264 has 128 divisors (see below), whose sum is σ = 490944000. Its totient is φ = 39750912.

The previous prime is 146886253. The next prime is 146886269. The reversal of 146886264 is 462688641.

146886264 is a `hidden beast` number, since 14 + 6 + 8 + 8 + 626 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146886269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26172 + ... + 31284.

It is an arithmetic number, because the mean of its divisors is an integer number (3835500).

Almost surely, 2^146886264 is an apocalyptic number.

146886264 is a gapful number since it is divisible by the number (14) 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 146886264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245472000).

146886264 is an abundant number, since it is smaller than the sum of its proper divisors (344057736).

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

146886264 is a wasteful number, since it uses less digits than its factorization.

146886264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5144 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 146886264 is about 12119.6643517880. The cubic root of 146886264 is about 527.6270610265.

The spelling of 146886264 in words is "one hundred forty-six million, eight hundred eighty-six thousand, two hundred sixty-four".