128337264 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 38384640.

The previous prime is 128337259. The next prime is 128337269. The reversal of 128337264 is 462733821.

It is a happy number.

128337264 is a `hidden beast` number, since 1 + 283 + 372 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (128337259) and next prime (128337269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128337269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536857 + ... + 537095.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^128337264 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 128337264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

128337264 is an abundant number, since it is smaller than the sum of its proper divisors (278779536).

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

128337264 is a wasteful number, since it uses less digits than its factorization.

128337264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 128337264 is about 11328.6037974677. The cubic root of 128337264 is about 504.4106630302.

The spelling of 128337264 in words is "one hundred twenty-eight million, three hundred thirty-seven thousand, two hundred sixty-four".