1264133520 has 240 divisors, whose sum is σ = 4716305280. Its totient is φ = 311081472.

The previous prime is 1264133509. The next prime is 1264133569. The reversal of 1264133520 is 253314621.

1264133520 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 133 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363309 + ... + 366771.

It is an arithmetic number, because the mean of its divisors is an integer number (19651272).

Almost surely, 2^1264133520 is an apocalyptic number.

1264133520 is a gapful number since it is divisible by the number (10) 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 1264133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358152640).

1264133520 is an abundant number, since it is smaller than the sum of its proper divisors (3452171760).

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

1264133520 is a wasteful number, since it uses less digits than its factorization.

1264133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1264133520 is about 35554.6553913830. The cubic root of 1264133520 is about 1081.2621047572.

The spelling of 1264133520 in words is "one billion, two hundred sixty-four million, one hundred thirty-three thousand, five hundred twenty".