128264136 has 256 divisors, whose sum is σ = 454809600. Its totient is φ = 29030400.

The previous prime is 128264119. The next prime is 128264137. The reversal of 128264136 is 631462821.

128264136 is a nontrivial binomial coefficient, being equal to C(16017, 2).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 128264097 and 128264106.

It is not an unprimeable number, because it can be changed into a prime (128264137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456316 + ... + 456596.

It is an arithmetic number, because the mean of its divisors is an integer number (1776600).

Almost surely, 2^128264136 is an apocalyptic number.

128264136 is the 16016-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128264136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227404800).

128264136 is an abundant number, since it is smaller than the sum of its proper divisors (326545464).

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

128264136 is a wasteful number, since it uses less digits than its factorization.

128264136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 128264136 is about 11325.3757553558. The cubic root of 128264136 is about 504.3148385592.

The spelling of 128264136 in words is "one hundred twenty-eight million, two hundred sixty-four thousand, one hundred thirty-six".