1352460765136 has 40 divisors (see below), whose sum is σ = 2822045705640. Its totient is φ = 624194013696.

The previous prime is 1352460765121. The next prime is 1352460765137. The reversal of 1352460765136 is 6315670642531.

It can be written as a sum of positive squares in 4 ways, for example, as 188047118736 + 1164413646400 = 433644^2 + 1079080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1352460765136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352460765137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8866086 + ... + 9017338.

It is an arithmetic number, because the mean of its divisors is an integer number (70551142641).

Almost surely, 2^{1352460765136} is an apocalyptic number.

1352460765136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1352460765136 is an abundant number, since it is smaller than the sum of its proper divisors (1469584940504).

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

1352460765136 is a wasteful number, since it uses less digits than its factorization.

1352460765136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194263 (or 194257 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 1352460765136 in words is "one trillion, three hundred fifty-two billion, four hundred sixty million, seven hundred sixty-five thousand, one hundred thirty-six".