135297752889600 has 5184 divisors, whose sum is σ = 632209615994880. Its totient is φ = 28142302003200.

The previous prime is 135297752889529. The next prime is 135297752889619. The reversal of 135297752889600 is 6988257792531.

135297752889600 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 9 + 7 + 7 + 5 + 2 + 8 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 440709292647 + ... + 440709292953.

Almost surely, 2^{135297752889600} is an apocalyptic number.

135297752889600 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 135297752889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316104807997440).

135297752889600 is an abundant number, since it is smaller than the sum of its proper divisors (496911863105280).

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

135297752889600 is a wasteful number, since it uses less digits than its factorization.

135297752889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 135297752889600 in words is "one hundred thirty-five trillion, two hundred ninety-seven billion, seven hundred fifty-two million, eight hundred eighty-nine thousand, six hundred".