1285134336 has 240 divisors, whose sum is σ = 3932248320. Its totient is φ = 418037760.

The previous prime is 1285134287. The next prime is 1285134349. The reversal of 1285134336 is 6334315821.

1285134336 is a `hidden beast` number, since 1 + 285 + 1 + 343 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1285134336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10119105 + ... + 10119231.

It is an arithmetic number, because the mean of its divisors is an integer number (16384368).

Almost surely, 2^1285134336 is an apocalyptic number.

1285134336 is a gapful number since it is divisible by the number (16) 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 1285134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966124160).

1285134336 is an abundant number, since it is smaller than the sum of its proper divisors (2647113984).

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

1285134336 is an equidigital number, since it uses as much as digits as its factorization.

1285134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 1285134336 is about 35848.7703554808. The cubic root of 1285134336 is about 1087.2168528008.

The spelling of 1285134336 in words is "one billion, two hundred eighty-five million, one hundred thirty-four thousand, three hundred thirty-six".