135091756800 has 2592 divisors, whose sum is σ = 679586503680. Its totient is φ = 25546752000.

The previous prime is 135091756783. The next prime is 135091756837. The reversal of 135091756800 is 8657190531.

It is a happy number.

135091756800 is a `hidden beast` number, since 1 + 3 + 509 + 17 + 56 + 80 + 0 = 666.

It is a super-3 number, since 3×135091756800³ (a number of 34 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1902700765 + ... + 1902700835.

Almost surely, 2^135091756800 is an apocalyptic number.

135091756800 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 135091756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339793251840).

135091756800 is an abundant number, since it is smaller than the sum of its proper divisors (544494746880).

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

135091756800 is a wasteful number, since it uses less digits than its factorization.

135091756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

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

The spelling of 135091756800 in words is "one hundred thirty-five billion, ninety-one million, seven hundred fifty-six thousand, eight hundred".