135473031360 has 560 divisors, whose sum is σ = 512097284160. Its totient is φ = 33930731520.

The previous prime is 135473031341. The next prime is 135473031361. The reversal of 135473031360 is 63130374531.

135473031360 is a `hidden beast` number, since 13 + 547 + 30 + 3 + 13 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135473031361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27809725 + ... + 27814595.

It is an arithmetic number, because the mean of its divisors is an integer number (914459436).

Almost surely, 2^135473031360 is an apocalyptic number.

135473031360 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 135473031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048642080).

135473031360 is an abundant number, since it is smaller than the sum of its proper divisors (376624252800).

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

135473031360 is a wasteful number, since it uses less digits than its factorization.

135473031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 135473031360 in words is "one hundred thirty-five billion, four hundred seventy-three million, thirty-one thousand, three hundred sixty".