135395089920 has 480 divisors, whose sum is σ = 507474519552. Its totient is φ = 34531909632.

The previous prime is 135395089909. The next prime is 135395089927. The reversal of 135395089920 is 29980593531.

135395089920 is a `hidden beast` number, since 1 + 3 + 539 + 5 + 0 + 89 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135395089927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14303109 + ... + 14312571.

Almost surely, 2^135395089920 is an apocalyptic number.

135395089920 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 135395089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253737259776).

135395089920 is an abundant number, since it is smaller than the sum of its proper divisors (372079429632).

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

135395089920 is an frugal number, since it uses more digits than its factorization.

135395089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9496 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 135395089920 in words is "one hundred thirty-five billion, three hundred ninety-five million, eighty-nine thousand, nine hundred twenty".