135440087004 has 72 divisors (see below), whose sum is σ = 353401015968. Its totient is φ = 43703452800.

The previous prime is 135440086987. The next prime is 135440087009. The reversal of 135440087004 is 400780044531.

135440087004 is a `hidden beast` number, since 135 + 440 + 0 + 87 + 0 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135440087004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135440087009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4329 + ... + 520479.

It is an arithmetic number, because the mean of its divisors is an integer number (4908347444).

Almost surely, 2^135440087004 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 135440087004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176700507984).

135440087004 is an abundant number, since it is smaller than the sum of its proper divisors (217960928964).

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

135440087004 is a wasteful number, since it uses less digits than its factorization.

135440087004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516395 (or 516390 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 135440087004 in words is "one hundred thirty-five billion, four hundred forty million, eighty-seven thousand, four".