135301939200 has 810 divisors, whose sum is σ = 518907648896. Its totient is φ = 33690746880.

The previous prime is 135301939139. The next prime is 135301939229. The reversal of 135301939200 is 2939103531.

135301939200 is a `hidden beast` number, since 13 + 530 + 1 + 93 + 9 + 20 + 0 = 666.

135301939200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135301939200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1065369537 + ... + 1065369663.

Almost surely, 2^135301939200 is an apocalyptic number.

135301939200 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 135301939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259453824448).

135301939200 is an abundant number, since it is smaller than the sum of its proper divisors (383605709696).

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

135301939200 is a wasteful number, since it uses less digits than its factorization.

135301939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The spelling of 135301939200 in words is "one hundred thirty-five billion, three hundred one million, nine hundred thirty-nine thousand, two hundred".