147264 has 56 divisors (see below), whose sum is σ = 426720. Its totient is φ = 44544.

The previous prime is 147263. The next prime is 147283. The reversal of 147264 is 462741.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147264.

It is not an unprimeable number, because it can be changed into a prime (147263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2467 + ... + 2525.

It is an arithmetic number, because the mean of its divisors is an integer number (7620).

2¹⁴⁷²⁶⁴ 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 147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360).

147264 is an abundant number, since it is smaller than the sum of its proper divisors (279456).

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

147264 is a wasteful number, since it uses less digits than its factorization.

147264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 147264 is about 383.7499185668. The cubic root of 147264 is about 52.8078959725.

The spelling of 147264 in words is "one hundred forty-seven thousand, two hundred sixty-four".