135445867200 has 1176 divisors, whose sum is σ = 583712470368. Its totient is φ = 30277877760.

The previous prime is 135445867177. The next prime is 135445867229. The reversal of 135445867200 is 2768544531.

135445867200 is a `hidden beast` number, since 1 + 3 + 5 + 44 + 586 + 7 + 20 + 0 = 666.

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

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 167 ways as a sum of consecutive naturals, for example, 432734244 + ... + 432734556.

Almost surely, 2^135445867200 is an apocalyptic number.

135445867200 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 135445867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291856235184).

135445867200 is an abundant number, since it is smaller than the sum of its proper divisors (448266603168).

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

135445867200 is an equidigital number, since it uses as much as digits as its factorization.

135445867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 135445867200 in words is "one hundred thirty-five billion, four hundred forty-five million, eight hundred sixty-seven thousand, two hundred".