135091756800000 has 6912 divisors, whose sum is σ = 686196180633600. Its totient is φ = 25546752000000.

The previous prime is 135091756799977. The next prime is 135091756800019. The reversal of 135091756800000 is 8657190531.

It is a happy number.

135091756800000 is a `hidden beast` number, since 1 + 3 + 509 + 17 + 56 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-3 number, since 3×135091756800000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1902700799965 + ... + 1902700800035.

It is an arithmetic number, because the mean of its divisors is an integer number (99276067800).

Almost surely, 2^{135091756800000} is an apocalyptic number.

135091756800000 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 135091756800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343098090316800).

135091756800000 is an abundant number, since it is smaller than the sum of its proper divisors (551104423833600).

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

135091756800000 is an equidigital number, since it uses as much as digits as its factorization.

135091756800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 135091756800000 in words is "one hundred thirty-five trillion, ninety-one billion, seven hundred fifty-six million, eight hundred thousand".