135036412200 has 144 divisors (see below), whose sum is σ = 470293649280. Its totient is φ = 36009696960.

The previous prime is 135036412177. The next prime is 135036412219. The reversal of 135036412200 is 2214630531.

135036412200 is a `hidden beast` number, since 13 + 5 + 0 + 3 + 641 + 2 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1340664 + ... + 1437863.

It is an arithmetic number, because the mean of its divisors is an integer number (3265928120).

Almost surely, 2^135036412200 is an apocalyptic number.

135036412200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135036412200 is an abundant number, since it is smaller than the sum of its proper divisors (335257237080).

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

135036412200 is a wasteful number, since it uses less digits than its factorization.

135036412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778558 (or 2778537 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 135036412200 in words is "one hundred thirty-five billion, thirty-six million, four hundred twelve thousand, two hundred".