128135392 has 288 divisors, whose sum is σ = 372314880. Its totient is φ = 42577920.

The previous prime is 128135387. The next prime is 128135401. The reversal of 128135392 is 293531821.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5571093 + ... + 5571115.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^128135392 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 128135392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

128135392 is an abundant number, since it is smaller than the sum of its proper divisors (244179488).

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

128135392 is a wasteful number, since it uses less digits than its factorization.

128135392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 128135392 is about 11319.6904551317. The cubic root of 128135392 is about 504.1460482093.

The spelling of 128135392 in words is "one hundred twenty-eight million, one hundred thirty-five thousand, three hundred ninety-two".