128745936 has 150 divisors (see below), whose sum is σ = 410081826. Its totient is φ = 38966400.

The previous prime is 128745917. The next prime is 128745937. The reversal of 128745936 is 639547821.

It can be written as a sum of positive squares in only one way, i.e., 98010000 + 30735936 = 9900^2 + 5544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128745891 and 128745900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128745937) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156406 + ... + 157226.

Almost surely, 2^128745936 is an apocalyptic number.

128745936 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 128745936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205040913).

128745936 is an abundant number, since it is smaller than the sum of its proper divisors (281335890).

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

128745936 is a wasteful number, since it uses less digits than its factorization.

128745936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 837 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 128745936 is about 11346.6266352604. The cubic root of 128745936 is about 504.9455040367.

The spelling of 128745936 in words is "one hundred twenty-eight million, seven hundred forty-five thousand, nine hundred thirty-six".