142773264 has 120 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 45454080.

The previous prime is 142773251. The next prime is 142773271. The reversal of 142773264 is 462377241.

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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747409 + ... + 747599.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^142773264 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 142773264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

142773264 is an abundant number, since it is smaller than the sum of its proper divisors (275057136).

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

142773264 is a wasteful number, since it uses less digits than its factorization.

142773264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

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

The square root of 142773264 is about 11948.7766737855. The cubic root of 142773264 is about 522.6556257502.

It can be divided in two parts, 1427 and 73264, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 142773264 in words is "one hundred forty-two million, seven hundred seventy-three thousand, two hundred sixty-four".