128137407 has 8 divisors (see below), whose sum is σ = 171136560. Its totient is φ = 85281600.

The previous prime is 128137391. The next prime is 128137421. The reversal of 128137407 is 704731821.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 128137407 - 2⁴ = 128137391 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128137907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33732 + ... + 37337.

It is an arithmetic number, because the mean of its divisors is an integer number (21392070).

Almost surely, 2^128137407 is an apocalyptic number.

128137407 is a deficient number, since it is larger than the sum of its proper divisors (42999153).

128137407 is an equidigital number, since it uses as much as digits as its factorization.

128137407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71673.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 128137407 is about 11319.7794589824. The cubic root of 128137407 is about 504.1486908541.

The spelling of 128137407 in words is "one hundred twenty-eight million, one hundred thirty-seven thousand, four hundred seven".