135734730436800 has 1008 divisors, whose sum is σ = 547252762248192. Its totient is φ = 32816785305600.

The previous prime is 135734730436741. The next prime is 135734730436817. The reversal of 135734730436800 is 8634037437531.

135734730436800 is a `hidden beast` number, since 1 + 3 + 5 + 73 + 473 + 0 + 43 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1595203857 + ... + 1595288943.

Almost surely, 2^{135734730436800} is an apocalyptic number.

135734730436800 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 135734730436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273626381124096).

135734730436800 is an abundant number, since it is smaller than the sum of its proper divisors (411518031811392).

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

135734730436800 is a wasteful number, since it uses less digits than its factorization.

135734730436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85508 (or 85481 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 135734730436800 in words is "one hundred thirty-five trillion, seven hundred thirty-four billion, seven hundred thirty million, four hundred thirty-six thousand, eight hundred".