135521261184 has 96 divisors (see below), whose sum is σ = 366901466400. Its totient is φ = 44321065984.

The previous prime is 135521261167. The next prime is 135521261219. The reversal of 135521261184 is 481162125531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1015837 + ... + 1141475.

It is an arithmetic number, because the mean of its divisors is an integer number (3821890275).

Almost surely, 2^135521261184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135521261184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183450733200).

135521261184 is an abundant number, since it is smaller than the sum of its proper divisors (231380205216).

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

135521261184 is an equidigital number, since it uses as much as digits as its factorization.

135521261184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125762 (or 125697 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The spelling of 135521261184 in words is "one hundred thirty-five billion, five hundred twenty-one million, two hundred sixty-one thousand, one hundred eighty-four".