135484640928 has 720 divisors, whose sum is σ = 515462137344. Its totient is φ = 34566497280.

The previous prime is 135484640923. The next prime is 135484640981. The reversal of 135484640928 is 829046484531.

135484640928 is a `hidden beast` number, since 1 + 3 + 548 + 4 + 6 + 4 + 0 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135484640923) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51182901 + ... + 51185547.

Almost surely, 2^135484640928 is an apocalyptic number.

135484640928 is a gapful number since it is divisible by the number (18) 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 135484640928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257731068672).

135484640928 is an abundant number, since it is smaller than the sum of its proper divisors (379977496416).

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

135484640928 is a wasteful number, since it uses less digits than its factorization.

135484640928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 135484640928 in words is "one hundred thirty-five billion, four hundred eighty-four million, six hundred forty thousand, nine hundred twenty-eight".