1240363136 has 128 divisors (see below), whose sum is σ = 2706998400. Its totient is φ = 564461568.

The previous prime is 1240363133. The next prime is 1240363139. The reversal of 1240363136 is 6313630421.

It is an interprime number because it is at equal distance from previous prime (1240363133) and next prime (1240363139).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1240363099 and 1240363108.

It is not an unprimeable number, because it can be changed into a prime (1240363133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6426656 + ... + 6426848.

It is an arithmetic number, because the mean of its divisors is an integer number (21148425).

Almost surely, 2^1240363136 is an apocalyptic number.

1240363136 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 1240363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353499200).

1240363136 is an abundant number, since it is smaller than the sum of its proper divisors (1466635264).

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

1240363136 is a wasteful number, since it uses less digits than its factorization.

1240363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 1240363136 is about 35218.7895305901. The cubic root of 1240363136 is about 1074.4419345345.

Adding to 1240363136 its reverse (6313630421), we get a palindrome (7553993557).

The spelling of 1240363136 in words is "one billion, two hundred forty million, three hundred sixty-three thousand, one hundred thirty-six".