126883900 has 144 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 40262400.

The previous prime is 126883877. The next prime is 126883921. The reversal of 126883900 is 9388621.

It is a self number, because there is not a number n which added to its sum of digits gives 126883900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271467 + ... + 271933.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^126883900 is an apocalyptic number.

126883900 is a gapful number since it is divisible by the number (10) 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 126883900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

126883900 is an abundant number, since it is smaller than the sum of its proper divisors (214344260).

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

126883900 is a wasteful number, since it uses less digits than its factorization.

126883900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 126883900 is about 11264.2753872586. The cubic root of 126883900 is about 502.4993523254.

The spelling of 126883900 in words is "one hundred twenty-six million, eight hundred eighty-three thousand, nine hundred".