268554132 has 144 divisors (see below), whose sum is σ = 891072000. Its totient is φ = 66070080.

The previous prime is 268554119. The next prime is 268554137. The reversal of 268554132 is 231455862.

268554132 is a `hidden beast` number, since 2 + 6 + 85 + 541 + 32 = 666.

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 (268554137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50119 + ... + 55217.

It is an arithmetic number, because the mean of its divisors is an integer number (6188000).

Almost surely, 2^268554132 is an apocalyptic number.

268554132 is a gapful number since it is divisible by the number (22) 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 268554132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536000).

268554132 is an abundant number, since it is smaller than the sum of its proper divisors (622517868).

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

268554132 is a wasteful number, since it uses less digits than its factorization.

268554132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5141 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 268554132 is about 16387.6213038989. The cubic root of 268554132 is about 645.1746273160.

The spelling of 268554132 in words is "two hundred sixty-eight million, five hundred fifty-four thousand, one hundred thirty-two".