1307135491200 has 2688 divisors, whose sum is σ = 6370220851200. Its totient is φ = 256645324800.

The previous prime is 1307135491169. The next prime is 1307135491231. The reversal of 1307135491200 is 21945317031.

1307135491200 is a `hidden beast` number, since 1 + 30 + 7 + 135 + 491 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1307135491169) and next prime (1307135491231).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3412886209 + ... + 3412886591.

Almost surely, 2^{1307135491200} is an apocalyptic number.

1307135491200 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 1307135491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185110425600).

1307135491200 is an abundant number, since it is smaller than the sum of its proper divisors (5063085360000).

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

1307135491200 is a wasteful number, since it uses less digits than its factorization.

1307135491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1307135491200 in words is "one trillion, three hundred seven billion, one hundred thirty-five million, four hundred ninety-one thousand, two hundred".