13154416128 has 720 divisors, whose sum is σ = 49121186400. Its totient is φ = 3360817152.

The previous prime is 13154416109. The next prime is 13154416133. The reversal of 13154416128 is 82161445131.

13154416128 is a `hidden beast` number, since 1 + 31 + 5 + 4 + 4 + 1 + 612 + 8 = 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 = 13154416092 and 13154416101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88284598 + ... + 88284746.

It is an arithmetic number, because the mean of its divisors is an integer number (68223870).

Almost surely, 2^13154416128 is an apocalyptic number.

13154416128 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 13154416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24560593200).

13154416128 is an abundant number, since it is smaller than the sum of its proper divisors (35966770272).

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

13154416128 is a wasteful number, since it uses less digits than its factorization.

13154416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 13154416128 in words is "thirteen billion, one hundred fifty-four million, four hundred sixteen thousand, one hundred twenty-eight".