135540418832 has 160 divisors (see below), whose sum is σ = 325599160320. Its totient is φ = 53226086400.

The previous prime is 135540418799. The next prime is 135540418843. The reversal of 135540418832 is 238814045531.

135540418832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×135540418832³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157056833 + ... + 157057695.

It is an arithmetic number, because the mean of its divisors is an integer number (2034994752).

Almost surely, 2^135540418832 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 135540418832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162799580160).

135540418832 is an abundant number, since it is smaller than the sum of its proper divisors (190058741488).

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

135540418832 is a wasteful number, since it uses less digits than its factorization.

135540418832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 135540418832 in words is "one hundred thirty-five billion, five hundred forty million, four hundred eighteen thousand, eight hundred thirty-two".