135672443424 has 288 divisors, whose sum is σ = 480334458240. Its totient is φ = 37077917184.

The previous prime is 135672443399. The next prime is 135672443441. The reversal of 135672443424 is 424344276531.

135672443424 is a `hidden beast` number, since 1 + 3 + 5 + 67 + 244 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 135672443424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904062 + ... + 1043394.

It is an arithmetic number, because the mean of its divisors is an integer number (1667827980).

Almost surely, 2^135672443424 is an apocalyptic number.

135672443424 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 135672443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240167229120).

135672443424 is an abundant number, since it is smaller than the sum of its proper divisors (344662014816).

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

135672443424 is a wasteful number, since it uses less digits than its factorization.

135672443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139389 (or 139368 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 135672443424 in words is "one hundred thirty-five billion, six hundred seventy-two million, four hundred forty-three thousand, four hundred twenty-four".