128122764 has 48 divisors (see below), whose sum is σ = 372723456. Its totient is φ = 33278400.

The previous prime is 128122751. The next prime is 128122769. The reversal of 128122764 is 467221821.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (128122769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68407 + ... + 70254.

It is an arithmetic number, because the mean of its divisors is an integer number (7765072).

Almost surely, 2^128122764 is an apocalyptic number.

128122764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

128122764 is an abundant number, since it is smaller than the sum of its proper divisors (244600692).

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

128122764 is a wasteful number, since it uses less digits than its factorization.

128122764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138686 (or 138684 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 128122764 is about 11319.1326522839. The cubic root of 128122764 is about 504.1294861303.

It can be divided in two parts, 12812 and 2764, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 128122764 in words is "one hundred twenty-eight million, one hundred twenty-two thousand, seven hundred sixty-four".