135398667200 has 84 divisors (see below), whose sum is σ = 333673505880. Its totient is φ = 54076861440.

The previous prime is 135398667181. The next prime is 135398667227. The reversal of 135398667200 is 2766893531.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 11 ways as a sum of consecutive naturals, for example, 990194 + ... + 1118606.

Almost surely, 2^135398667200 is an apocalyptic number.

135398667200 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 135398667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166836752940).

135398667200 is an abundant number, since it is smaller than the sum of its proper divisors (198274838680).

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

135398667200 is a wasteful number, since it uses less digits than its factorization.

135398667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129094 (or 129079 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 135398667200 in words is "one hundred thirty-five billion, three hundred ninety-eight million, six hundred sixty-seven thousand, two hundred".