128038131 has 64 divisors (see below), whose sum is σ = 218803200. Its totient is φ = 73343232.

The previous prime is 128038123. The next prime is 128038151. The reversal of 128038131 is 131830821.

128038131 is a `hidden beast` number, since 1 + 280 + 381 + 3 + 1 = 666.

It is not a de Polignac number, because 128038131 - 2³ = 128038123 is a prime.

It is a super-2 number, since 2×128038131² = 32787525979946322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 128038095 and 128038104.

It is not an unprimeable number, because it can be changed into a prime (128038111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486706 + ... + 486968.

It is an arithmetic number, because the mean of its divisors is an integer number (3418800).

Almost surely, 2^128038131 is an apocalyptic number.

128038131 is a deficient number, since it is larger than the sum of its proper divisors (90765069).

128038131 is a wasteful number, since it uses less digits than its factorization.

128038131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 128038131 is about 11315.3935415433. The cubic root of 128038131 is about 504.0184587911.

Adding to 128038131 its reverse (131830821), we get a palindrome (259868952).

The spelling of 128038131 in words is "one hundred twenty-eight million, thirty-eight thousand, one hundred thirty-one".