135066471710400 has 2016 divisors, whose sum is σ = 543471875573760. Its totient is φ = 32589029376000.

The previous prime is 135066471710389. The next prime is 135066471710497. The reversal of 135066471710400 is 4017174660531.

It is a happy number.

135066471710400 is a `hidden beast` number, since 1 + 3 + 50 + 6 + 64 + 71 + 71 + 0 + 400 = 666.

It is a super-3 number, since 3×135066471710400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63085693330 + ... + 63085695470.

It is an arithmetic number, because the mean of its divisors is an integer number (269579303360).

Almost surely, 2^{135066471710400} is an apocalyptic number.

135066471710400 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 135066471710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271735937786880).

135066471710400 is an abundant number, since it is smaller than the sum of its proper divisors (408405403863360).

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

135066471710400 is a wasteful number, since it uses less digits than its factorization.

135066471710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 135066471710400 in words is "one hundred thirty-five trillion, sixty-six billion, four hundred seventy-one million, seven hundred ten thousand, four hundred".