135577493184 has 336 divisors, whose sum is σ = 442132638720. Its totient is φ = 36456376320.

The previous prime is 135577493173. The next prime is 135577493189. The reversal of 135577493184 is 481394775531.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (135577493189) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28061649 + ... + 28066479.

Almost surely, 2^135577493184 is an apocalyptic number.

135577493184 is a gapful number since it is divisible by the number (14) 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 135577493184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221066319360).

135577493184 is an abundant number, since it is smaller than the sum of its proper divisors (306555145536).

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

135577493184 is a wasteful number, since it uses less digits than its factorization.

135577493184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5019 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 57.

The spelling of 135577493184 in words is "one hundred thirty-five billion, five hundred seventy-seven million, four hundred ninety-three thousand, one hundred eighty-four".