145635264 has 84 divisors (see below), whose sum is σ = 435626256. Its totient is φ = 46430208.

The previous prime is 145635229. The next prime is 145635283. The reversal of 145635264 is 462536541.

145635264 is a `hidden beast` number, since 14 + 5 + 635 + 2 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7752 + ... + 18744.

Almost surely, 2^145635264 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 145635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217813128).

145635264 is an abundant number, since it is smaller than the sum of its proper divisors (289990992).

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

145635264 is a wasteful number, since it uses less digits than its factorization.

145635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11034 (or 11021 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 145635264 is about 12067.9436525035. The cubic root of 145635264 is about 526.1248914309.

The spelling of 145635264 in words is "one hundred forty-five million, six hundred thirty-five thousand, two hundred sixty-four".