135409445328 has 160 divisors (see below), whose sum is σ = 371729064960. Its totient is φ = 42354524160.

The previous prime is 135409445287. The next prime is 135409445341. The reversal of 135409445328 is 823544904531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117440400 + ... + 117441552.

It is an arithmetic number, because the mean of its divisors is an integer number (2323306656).

Almost surely, 2^135409445328 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 135409445328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185864532480).

135409445328 is an abundant number, since it is smaller than the sum of its proper divisors (236319619632).

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

135409445328 is a wasteful number, since it uses less digits than its factorization.

135409445328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 135409445328 in words is "one hundred thirty-five billion, four hundred nine million, four hundred forty-five thousand, three hundred twenty-eight".