135577559040 has 1344 divisors, whose sum is σ = 580917588480. Its totient is φ = 26644316160.

The previous prime is 135577559009. The next prime is 135577559059. The reversal of 135577559040 is 40955775531.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1523343316 + ... + 1523343404.

Almost surely, 2^135577559040 is an apocalyptic number.

135577559040 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 135577559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290458794240).

135577559040 is an abundant number, since it is smaller than the sum of its proper divisors (445340029440).

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

135577559040 is a wasteful number, since it uses less digits than its factorization.

135577559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3307500, while the sum is 51.

The spelling of 135577559040 in words is "one hundred thirty-five billion, five hundred seventy-seven million, five hundred fifty-nine thousand, forty".