135406748672 has 176 divisors, whose sum is σ = 300552035952. Its totient is φ = 60569026560.

The previous prime is 135406748611. The next prime is 135406748681. The reversal of 135406748672 is 276847604531.

It can be written as a sum of positive squares in 8 ways, for example, as 27444560896 + 107962187776 = 165664^2 + 328576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207360698 + ... + 207361350.

Almost surely, 2^135406748672 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 135406748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150276017976).

135406748672 is an abundant number, since it is smaller than the sum of its proper divisors (165145287280).

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

135406748672 is a wasteful number, since it uses less digits than its factorization.

135406748672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 135406748672 in words is "one hundred thirty-five billion, four hundred six million, seven hundred forty-eight thousand, six hundred seventy-two".