1249307136 has 360 divisors, whose sum is σ = 4584644064. Its totient is φ = 323850240.

The previous prime is 1249307117. The next prime is 1249307159. The reversal of 1249307136 is 6317039421.

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 1249307136.

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 35 ways as a sum of consecutive naturals, for example, 2483461 + ... + 2483963.

Almost surely, 2^1249307136 is an apocalyptic number.

1249307136 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 1249307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1249307136 is an abundant number, since it is smaller than the sum of its proper divisors (3335336928).

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

1249307136 is a wasteful number, since it uses less digits than its factorization.

1249307136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1249307136 is about 35345.5391244779. The cubic root of 1249307136 is about 1077.0182775327.

The spelling of 1249307136 in words is "one billion, two hundred forty-nine million, three hundred seven thousand, one hundred thirty-six".