13142176128 has 320 divisors, whose sum is σ = 41747555520. Its totient is φ = 4089692160.

The previous prime is 13142176109. The next prime is 13142176153. The reversal of 13142176128 is 82167124131.

13142176128 is a `hidden beast` number, since 1 + 3 + 14 + 21 + 7 + 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 = 13142176092 and 13142176101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30492073 + ... + 30492503.

It is an arithmetic number, because the mean of its divisors is an integer number (130461111).

Almost surely, 2^13142176128 is an apocalyptic number.

13142176128 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 13142176128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20873777760).

13142176128 is an abundant number, since it is smaller than the sum of its proper divisors (28605379392).

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

13142176128 is a wasteful number, since it uses less digits than its factorization.

13142176128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 626 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 13142176128 in words is "thirteen billion, one hundred forty-two million, one hundred seventy-six thousand, one hundred twenty-eight".