135327792600 has 2304 divisors, whose sum is σ = 662957568000. Its totient is φ = 23813222400.

The previous prime is 135327792599. The next prime is 135327792617. The reversal of 135327792600 is 6297723531.

135327792600 is a `hidden beast` number, since 1 + 3 + 5 + 32 + 7 + 7 + 9 + 2 + 600 = 666.

It is a super-2 number, since 2×135327792600² (a number of 23 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2019817767 + ... + 2019817833.

It is an arithmetic number, because the mean of its divisors is an integer number (287742000).

Almost surely, 2^135327792600 is an apocalyptic number.

135327792600 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 135327792600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331478784000).

135327792600 is an abundant number, since it is smaller than the sum of its proper divisors (527629775400).

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

135327792600 is a wasteful number, since it uses less digits than its factorization.

135327792600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 135327792600 in words is "one hundred thirty-five billion, three hundred twenty-seven million, seven hundred ninety-two thousand, six hundred".