1012859136 has 108 divisors (see below), whose sum is σ = 2970218160. Its totient is φ = 331852800.

The previous prime is 1012859129. The next prime is 1012859137. The reversal of 1012859136 is 6319582101.

1012859136 is a `hidden beast` number, since 10 + 1 + 28 + 591 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 1012859136.

It is not an unprimeable number, because it can be changed into a prime (1012859137) 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 11 ways as a sum of consecutive naturals, for example, 132211 + ... + 139661.

It is an arithmetic number, because the mean of its divisors is an integer number (27502020).

Almost surely, 2^1012859136 is an apocalyptic number.

1012859136 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 1012859136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485109080).

1012859136 is an abundant number, since it is smaller than the sum of its proper divisors (1957359024).

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

1012859136 is an equidigital number, since it uses as much as digits as its factorization.

1012859136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1012859136 is about 31825.4479308619. The cubic root of 1012859136 is about 1004.2681357662.

The spelling of 1012859136 in words is "one billion, twelve million, eight hundred fifty-nine thousand, one hundred thirty-six".