135193411584 has 960 divisors, whose sum is σ = 515883648000. Its totient is φ = 35115171840.

The previous prime is 135193411513. The next prime is 135193411589. The reversal of 135193411584 is 485114391531.

135193411584 is a `hidden beast` number, since 1 + 3 + 51 + 9 + 3 + 4 + 11 + 584 = 666.

Its product of digits (259200) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135193411589) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12290310139 + ... + 12290310149.

It is an arithmetic number, because the mean of its divisors is an integer number (537378800).

Almost surely, 2^135193411584 is an apocalyptic number.

135193411584 is a gapful number since it is divisible by the number (14) 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 135193411584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257941824000).

135193411584 is an abundant number, since it is smaller than the sum of its proper divisors (380690236416).

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

135193411584 is an frugal number, since it uses more digits than its factorization.

135193411584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 135193411584 in words is "one hundred thirty-five billion, one hundred ninety-three million, four hundred eleven thousand, five hundred eighty-four".