135311299200 has 1728 divisors, whose sum is σ = 636874862400. Its totient is φ = 27462758400.

The previous prime is 135311299183. The next prime is 135311299219. The reversal of 135311299200 is 2992113531.

135311299200 is a `hidden beast` number, since 1 + 3 + 531 + 12 + 99 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3146774379 + ... + 3146774421.

Almost surely, 2^135311299200 is an apocalyptic number.

135311299200 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 135311299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318437431200).

135311299200 is an abundant number, since it is smaller than the sum of its proper divisors (501563563200).

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

135311299200 is a wasteful number, since it uses less digits than its factorization.

135311299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 135311299200 in words is "one hundred thirty-five billion, three hundred eleven million, two hundred ninety-nine thousand, two hundred".