126775008 has 144 divisors (see below), whose sum is σ = 382702320. Its totient is φ = 39739392.

The previous prime is 126775003. The next prime is 126775009. The reversal of 126775008 is 800577621.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126775003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358960 + ... + 359312.

It is an arithmetic number, because the mean of its divisors is an integer number (2657655).

Almost surely, 2^126775008 is an apocalyptic number.

126775008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126775008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191351160).

126775008 is an abundant number, since it is smaller than the sum of its proper divisors (255927312).

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

126775008 is a wasteful number, since it uses less digits than its factorization.

126775008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 126775008 is about 11259.4408386918. The cubic root of 126775008 is about 502.3555625564.

The spelling of 126775008 in words is "one hundred twenty-six million, seven hundred seventy-five thousand, eight".