126788805 has 192 divisors, whose sum is σ = 292481280. Its totient is φ = 49766400.

The previous prime is 126788749. The next prime is 126788819. The reversal of 126788805 is 508887621.

It is not a de Polignac number, because 126788805 - 2⁶ = 126788741 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2078475 + ... + 2078535.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^126788805 is an apocalyptic number.

126788805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126788805 is an abundant number, since it is smaller than the sum of its proper divisors (165692475).

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

126788805 is a wasteful number, since it uses less digits than its factorization.

126788805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 126788805 is about 11260.0535078658. The cubic root of 126788805 is about 502.3737857809.

The spelling of 126788805 in words is "one hundred twenty-six million, seven hundred eighty-eight thousand, eight hundred five".