146436264 has 96 divisors (see below), whose sum is σ = 431613000. Its totient is φ = 44582400.

The previous prime is 146436263. The next prime is 146436271. The reversal of 146436264 is 462634641.

146436264 is a `hidden beast` number, since 1 + 4 + 643 + 6 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126562500 + 19873764 = 11250^2 + 4458^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (146436263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93762 + ... + 95310.

Almost surely, 2^146436264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146436264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215806500).

146436264 is an abundant number, since it is smaller than the sum of its proper divisors (285176736).

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

146436264 is a wasteful number, since it uses less digits than its factorization.

146436264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1668 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 146436264 is about 12101.0852405890. The cubic root of 146436264 is about 527.0876980077.

The spelling of 146436264 in words is "one hundred forty-six million, four hundred thirty-six thousand, two hundred sixty-four".