128514456 has 144 divisors (see below), whose sum is σ = 411255000. Its totient is φ = 36142848.

The previous prime is 128514443. The next prime is 128514467. The reversal of 128514456 is 654415821.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128514456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257295 + ... + 257793.

Almost surely, 2^128514456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128514456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205627500).

128514456 is an abundant number, since it is smaller than the sum of its proper divisors (282740544).

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

128514456 is a wasteful number, since it uses less digits than its factorization.

128514456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 128514456 is about 11336.4216576484. The cubic root of 128514456 is about 504.6426986037.

The spelling of 128514456 in words is "one hundred twenty-eight million, five hundred fourteen thousand, four hundred fifty-six".