135440087040 has 480 divisors, whose sum is σ = 488018971440. Its totient is φ = 35927359488.

The previous prime is 135440087009. The next prime is 135440087087. The reversal of 135440087040 is 40780044531.

135440087040 is a `hidden beast` number, since 1 + 3 + 544 + 0 + 0 + 8 + 70 + 40 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 135440086986 and 135440087004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234731232 + ... + 234731808.

Almost surely, 2^135440087040 is an apocalyptic number.

135440087040 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 135440087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244009485720).

135440087040 is an abundant number, since it is smaller than the sum of its proper divisors (352578884400).

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

135440087040 is an equidigital number, since it uses as much as digits as its factorization.

135440087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 870 counting only the distinct ones).

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

The spelling of 135440087040 in words is "one hundred thirty-five billion, four hundred forty million, eighty-seven thousand, forty".