1302136440 has 128 divisors (see below), whose sum is σ = 4304171520. Its totient is φ = 312512000.

The previous prime is 1302136427. The next prime is 1302136441. The reversal of 1302136440 is 446312031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1302136440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302136441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128437 + ... + 138203.

It is an arithmetic number, because the mean of its divisors is an integer number (33626340).

Almost surely, 2^1302136440 is an apocalyptic number.

1302136440 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 1302136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152085760).

1302136440 is an abundant number, since it is smaller than the sum of its proper divisors (3002035080).

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

1302136440 is a wasteful number, since it uses less digits than its factorization.

1302136440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1302136440 is about 36085.1276844076. The cubic root of 1302136440 is about 1091.9904264614.

Adding to 1302136440 its reverse (446312031), we get a palindrome (1748448471).

The spelling of 1302136440 in words is "one billion, three hundred two million, one hundred thirty-six thousand, four hundred forty".