128037952 has 56 divisors (see below), whose sum is σ = 292160960. Its totient is φ = 54535680.

The previous prime is 128037919. The next prime is 128037953. The reversal of 128037952 is 259730821.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (128037953) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 80299 + ... + 81877.

It is an arithmetic number, because the mean of its divisors is an integer number (5217160).

Almost surely, 2^128037952 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 128037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146080480).

128037952 is an abundant number, since it is smaller than the sum of its proper divisors (164123008).

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

128037952 is a wasteful number, since it uses less digits than its factorization.

128037952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 128037952 is about 11315.3856319615. The cubic root of 128037952 is about 504.0182239148.

The spelling of 128037952 in words is "one hundred twenty-eight million, thirty-seven thousand, nine hundred fifty-two".