15217072128 has 144 divisors (see below), whose sum is σ = 45578955240. Its totient is φ = 5072191488.

The previous prime is 15217072081. The next prime is 15217072133. The reversal of 15217072128 is 82127071251.

15217072128 is a `hidden beast` number, since 1 + 521 + 7 + 0 + 7 + 2 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 15217072092 and 15217072101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482376 + ... + 512952.

Almost surely, 2^15217072128 is an apocalyptic number.

15217072128 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 15217072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22789477620).

15217072128 is an abundant number, since it is smaller than the sum of its proper divisors (30361883112).

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

15217072128 is an frugal number, since it uses more digits than its factorization.

15217072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30614 (or 30582 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 15217072128 in words is "fifteen billion, two hundred seventeen million, seventy-two thousand, one hundred twenty-eight".