13247152128 has 640 divisors, whose sum is σ = 48720291840. Its totient is φ = 3503554560.

The previous prime is 13247152091. The next prime is 13247152133. The reversal of 13247152128 is 82125174231.

13247152128 is a `hidden beast` number, since 13 + 2 + 471 + 52 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13247152092 and 13247152101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 427327473 + ... + 427327503.

It is an arithmetic number, because the mean of its divisors is an integer number (76125456).

Almost surely, 2^13247152128 is an apocalyptic number.

13247152128 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 13247152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360145920).

13247152128 is an abundant number, since it is smaller than the sum of its proper divisors (35473139712).

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

13247152128 is an frugal number, since it uses more digits than its factorization.

13247152128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 13247152128 in words is "thirteen billion, two hundred forty-seven million, one hundred fifty-two thousand, one hundred twenty-eight".