128151672102144 has 432 divisors, whose sum is σ = 401530448592000. Its totient is φ = 39186147753984.

The previous prime is 128151672102143. The next prime is 128151672102217. The reversal of 128151672102144 is 441201276151821.

128151672102144 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 516 + 72 + 1 + 0 + 21 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128151672102144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128151672102143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228698599 + ... + 229258265.

It is an arithmetic number, because the mean of its divisors is an integer number (929468631000).

Almost surely, 2^{128151672102144} 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 128151672102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200765224296000).

128151672102144 is an abundant number, since it is smaller than the sum of its proper divisors (273378776489856).

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

128151672102144 is a wasteful number, since it uses less digits than its factorization.

128151672102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559890 (or 559873 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 128151672102144 in words is "one hundred twenty-eight trillion, one hundred fifty-one billion, six hundred seventy-two million, one hundred two thousand, one hundred forty-four".