126511830 has 48 divisors (see below), whose sum is σ = 330810480. Its totient is φ = 33543744.

The previous prime is 126511793. The next prime is 126511849. The reversal of 126511830 is 38115621.

126511830 is a `hidden beast` number, since 1 + 2 + 651 + 1 + 8 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126511794 and 126511803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12184 + ... + 20036.

It is an arithmetic number, because the mean of its divisors is an integer number (6891885).

Almost surely, 2^126511830 is an apocalyptic number.

126511830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126511830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165405240).

126511830 is an abundant number, since it is smaller than the sum of its proper divisors (204298650).

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

126511830 is a wasteful number, since it uses less digits than its factorization.

126511830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 126511830 is about 11247.7477745547. The cubic root of 126511830 is about 502.0077008178.

The spelling of 126511830 in words is "one hundred twenty-six million, five hundred eleven thousand, eight hundred thirty".