135931424832 has 448 divisors, whose sum is σ = 473790873600. Its totient is φ = 37396961280.

The previous prime is 135931424831. The next prime is 135931424851. The reversal of 135931424832 is 238424139531.

It is a happy number.

135931424832 is a `hidden beast` number, since 1 + 3 + 593 + 1 + 4 + 24 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (135931424831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85868713 + ... + 85870295.

Almost surely, 2^135931424832 is an apocalyptic number.

135931424832 is a gapful number since it is divisible by the number (12) 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 135931424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236895436800).

135931424832 is an abundant number, since it is smaller than the sum of its proper divisors (337859448768).

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

135931424832 is a wasteful number, since it uses less digits than its factorization.

135931424832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1855 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 135931424832 in words is "one hundred thirty-five billion, nine hundred thirty-one million, four hundred twenty-four thousand, eight hundred thirty-two".