147723264 has 220 divisors, whose sum is σ = 478531284. Its totient is φ = 45121536.

The previous prime is 147723263. The next prime is 147723281. The reversal of 147723264 is 462327741.

It can be written as a sum of positive squares in 2 ways, for example, as 51840000 + 95883264 = 7200^2 + 9792^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147723263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078204 + ... + 1078340.

Almost surely, 2^147723264 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 147723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239265642).

147723264 is an abundant number, since it is smaller than the sum of its proper divisors (330808020).

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

147723264 is a wasteful number, since it uses less digits than its factorization.

147723264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 147723264 is about 12154.1459593013. The cubic root of 147723264 is about 528.6273534761.

It can be divided in two parts, 14772326 and 4, that added together give a triangular number (14772330 = T₅₄₃₅).

The spelling of 147723264 in words is "one hundred forty-seven million, seven hundred twenty-three thousand, two hundred sixty-four".