128045376 has 168 divisors, whose sum is σ = 387998208. Its totient is φ = 40320000.

The previous prime is 128045363. The next prime is 128045381. The reversal of 128045376 is 673540821.

128045376 is a `hidden beast` number, since 1 + 280 + 4 + 5 + 376 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128045376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267726 + ... + 1267826.

Almost surely, 2^128045376 is an apocalyptic number.

128045376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193999104).

128045376 is an abundant number, since it is smaller than the sum of its proper divisors (259952832).

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

128045376 is a wasteful number, since it uses less digits than its factorization.

128045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 128045376 is about 11315.7136761231. The cubic root of 128045376 is about 504.0279651905.

It can be divided in two parts, 1280 and 45376, that added together give a 6-th power (46656 = 6⁶).

The spelling of 128045376 in words is "one hundred twenty-eight million, forty-five thousand, three hundred seventy-six".