135478170631800 has 960 divisors, whose sum is σ = 483823401177600. Its totient is φ = 35122097664000.

The previous prime is 135478170631747. The next prime is 135478170631871. The reversal of 135478170631800 is 8136071874531.

135478170631800 is a `hidden beast` number, since 1 + 3 + 547 + 8 + 17 + 0 + 6 + 3 + 1 + 80 + 0 = 666.

It is a super-2 number, since 2×135478170631800² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 112804471200 + ... + 112804472400.

It is an arithmetic number, because the mean of its divisors is an integer number (503982709560).

Almost surely, 2^{135478170631800} is an apocalyptic number.

135478170631800 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 135478170631800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241911700588800).

135478170631800 is an abundant number, since it is smaller than the sum of its proper divisors (348345230545800).

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

135478170631800 is a wasteful number, since it uses less digits than its factorization.

135478170631800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 135478170631800 in words is "one hundred thirty-five trillion, four hundred seventy-eight billion, one hundred seventy million, six hundred thirty-one thousand, eight hundred".