135431665644 has 144 divisors (see below), whose sum is σ = 359754040800. Its totient is φ = 39577359360.

The previous prime is 135431665591. The next prime is 135431665651. The reversal of 135431665644 is 446566134531.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135431665593 and 135431665602.

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, 51749424 + ... + 51752040.

It is an arithmetic number, because the mean of its divisors is an integer number (2498291950).

Almost surely, 2^135431665644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135431665644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179877020400).

135431665644 is an abundant number, since it is smaller than the sum of its proper divisors (224322375156).

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

135431665644 is a wasteful number, since it uses less digits than its factorization.

135431665644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3891 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 135431665644 in words is "one hundred thirty-five billion, four hundred thirty-one million, six hundred sixty-five thousand, six hundred forty-four".