1344135511125 has 192 divisors, whose sum is σ = 2732764978944. Its totient is φ = 629959680000.

The previous prime is 1344135511123. The next prime is 1344135511153. The reversal of 1344135511125 is 5211155314431.

1344135511125 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 13 + 5 + 511 + 125 = 666.

It is not a de Polignac number, because 1344135511125 - 2¹ = 1344135511123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1344135511125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344135511123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51603105 + ... + 51629145.

It is an arithmetic number, because the mean of its divisors is an integer number (14233150932).

Almost surely, 2^{1344135511125} is an apocalyptic number.

1344135511125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1344135511125 is an abundant number, since it is smaller than the sum of its proper divisors (1388629467819).

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

1344135511125 is a wasteful number, since it uses less digits than its factorization.

1344135511125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26213 (or 26200 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 1344135511125 in words is "one trillion, three hundred forty-four billion, one hundred thirty-five million, five hundred eleven thousand, one hundred twenty-five".