128106133286404 has 81 divisors (see below), whose sum is σ = 282395723579487. Its totient is φ = 50678534507328.

The previous prime is 128106133286399. The next prime is 128106133286407. The reversal of 128106133286404 is 404682331601821.

The square root of 128106133286404 is 11318398.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 68073885476100 + 60032247810304 = 8250690^2 + 7748048^2 .

It is a super-2 number, since 2×128106133286404² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (128106133286407) 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 26 ways as a sum of consecutive naturals, for example, 2059917342 + ... + 2059979530.

Almost surely, 2^{128106133286404} is an apocalyptic number.

128106133286404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

128106133286404 is the 11318398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128106133286404

128106133286404 is an abundant number, since it is smaller than the sum of its proper divisors (154289590293083).

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

128106133286404 is an frugal number, since it uses more digits than its factorization.

128106133286404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124422 (or 62211 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

128106133286404 divided by its sum of digits (49) gives a square (2614410883396 = 1616914²).

The spelling of 128106133286404 in words is "one hundred twenty-eight trillion, one hundred six billion, one hundred thirty-three million, two hundred eighty-six thousand, four hundred four".