145563264 has 256 divisors, whose sum is σ = 536601600. Its totient is φ = 37739520.

The previous prime is 145563247. The next prime is 145563293. The reversal of 145563264 is 462365541.

145563264 is a `hidden beast` number, since 14 + 5 + 5 + 632 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265839 + ... + 266385.

It is an arithmetic number, because the mean of its divisors is an integer number (2096100).

Almost surely, 2^145563264 is an apocalyptic number.

145563264 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 145563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268300800).

145563264 is an abundant number, since it is smaller than the sum of its proper divisors (391038336).

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

145563264 is a wasteful number, since it uses less digits than its factorization.

145563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 570 counting only the distinct ones).

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

The square root of 145563264 is about 12064.9601739915. The cubic root of 145563264 is about 526.0381742548.

The spelling of 145563264 in words is "one hundred forty-five million, five hundred sixty-three thousand, two hundred sixty-four".