135166871457072 has 800 divisors, whose sum is σ = 504919186020480. Its totient is φ = 33947592376320.

The previous prime is 135166871457071. The next prime is 135166871457077. The reversal of 135166871457072 is 270754178661531.

It is a happy number.

135166871457072 is a `hidden beast` number, since 1 + 3 + 51 + 6 + 6 + 8 + 7 + 1 + 4 + 570 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135166871457071) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 249399822 + ... + 249941202.

Almost surely, 2^{135166871457072} is an apocalyptic number.

135166871457072 is a gapful number since it is divisible by the number (12) 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 135166871457072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252459593010240).

135166871457072 is an abundant number, since it is smaller than the sum of its proper divisors (369752314563408).

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

135166871457072 is a wasteful number, since it uses less digits than its factorization.

135166871457072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541523 (or 541508 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 135166871457072 in words is "one hundred thirty-five trillion, one hundred sixty-six billion, eight hundred seventy-one million, four hundred fifty-seven thousand, seventy-two".