126182858100 has 144 divisors (see below), whose sum is σ = 396781271040. Its totient is φ = 30775334400.

The previous prime is 126182858089. The next prime is 126182858237. The reversal of 126182858100 is 1858281621.

It is a super-2 number, since 2×126182858100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276685 + ... + 573515.

Almost surely, 2^126182858100 is an apocalyptic number.

126182858100 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 126182858100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198390635520).

126182858100 is an abundant number, since it is smaller than the sum of its proper divisors (270598412940).

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

126182858100 is a wasteful number, since it uses less digits than its factorization.

126182858100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296970 (or 296963 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 126182858100 in words is "one hundred twenty-six billion, one hundred eighty-two million, eight hundred fifty-eight thousand, one hundred".