128214765 has 128 divisors (see below), whose sum is σ = 288645120. Its totient is φ = 52614144.

The previous prime is 128214763. The next prime is 128214781. The reversal of 128214765 is 567412821.

It is not a de Polignac number, because 128214765 - 2¹ = 128214763 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128214761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 369322 + ... + 369668.

It is an arithmetic number, because the mean of its divisors is an integer number (2255040).

Almost surely, 2^128214765 is an apocalyptic number.

128214765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128214765 is an abundant number, since it is smaller than the sum of its proper divisors (160430355).

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

128214765 is a wasteful number, since it uses less digits than its factorization.

128214765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 128214765 is about 11323.1958827886. The cubic root of 128214765 is about 504.2501238645.

The spelling of 128214765 in words is "one hundred twenty-eight million, two hundred fourteen thousand, seven hundred sixty-five".