135066050341200 has 360 divisors, whose sum is σ = 518529127386816. Its totient is φ = 32282111232000.

The previous prime is 135066050341099. The next prime is 135066050341207. The reversal of 135066050341200 is 2143050660531.

135066050341200 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 6 + 60 + 50 + 341 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135066050341207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21207829 + ... + 26831028.

Almost surely, 2^{135066050341200} is an apocalyptic number.

135066050341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135066050341200 is an abundant number, since it is smaller than the sum of its proper divisors (383463077045616).

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

135066050341200 is a wasteful number, since it uses less digits than its factorization.

135066050341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48038963 (or 48038949 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 135066050341200 in words is "one hundred thirty-five trillion, sixty-six billion, fifty million, three hundred forty-one thousand, two hundred".