128137893 has 32 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 76204800.

The previous prime is 128137859. The next prime is 128137897. The reversal of 128137893 is 398731821.

It is not a de Polignac number, because 128137893 - 2¹⁸ = 127875749 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128137897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182443 + ... + 183143.

It is an arithmetic number, because the mean of its divisors is an integer number (5945940).

Almost surely, 2^128137893 is an apocalyptic number.

128137893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128137893 is a deficient number, since it is larger than the sum of its proper divisors (62132187).

128137893 is a wasteful number, since it uses less digits than its factorization.

128137893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869.

The product of its digits is 72576, while the sum is 42.

The square root of 128137893 is about 11319.8009258114. The cubic root of 128137893 is about 504.1493282322.

It can be divided in two parts, 12813 and 7893, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 128137893 in words is "one hundred twenty-eight million, one hundred thirty-seven thousand, eight hundred ninety-three".