1300136640 has 448 divisors, whose sum is σ = 4835054592. Its totient is φ = 292864000.

The previous prime is 1300136627. The next prime is 1300136641. The reversal of 1300136640 is 466310031.

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 1300136640.

It is not an unprimeable number, because it can be changed into a prime (1300136641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12872590 + ... + 12872690.

Almost surely, 2^1300136640 is an apocalyptic number.

1300136640 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 1300136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417527296).

1300136640 is an abundant number, since it is smaller than the sum of its proper divisors (3534917952).

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

1300136640 is a wasteful number, since it uses less digits than its factorization.

1300136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1300136640 is about 36057.4075607218. The cubic root of 1300136640 is about 1091.4311196506.

Adding to 1300136640 its reverse (466310031), we get a palindrome (1766446671).

The spelling of 1300136640 in words is "one billion, three hundred million, one hundred thirty-six thousand, six hundred forty".