126800443575 has 144 divisors (see below), whose sum is σ = 259548248960. Its totient is φ = 60971460480.

The previous prime is 126800443537. The next prime is 126800443579. The reversal of 126800443575 is 575344008621.

126800443575 is a `hidden beast` number, since 12 + 68 + 0 + 0 + 4 + 4 + 3 + 575 = 666.

It is not a de Polignac number, because 126800443575 - 2¹⁷ = 126800312503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 126800443575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126800443579) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3377256 + ... + 3414594.

Almost surely, 2^126800443575 is an apocalyptic number.

126800443575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126800443575 is an abundant number, since it is smaller than the sum of its proper divisors (132747805385).

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

126800443575 is a wasteful number, since it uses less digits than its factorization.

126800443575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37420 (or 37403 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 126800443575 in words is "one hundred twenty-six billion, eight hundred million, four hundred forty-three thousand, five hundred seventy-five".