126511632 has 120 divisors (see below), whose sum is σ = 395571904. Its totient is φ = 38911104.

The previous prime is 126511607. The next prime is 126511657. The reversal of 126511632 is 236115621.

126511632 is a `hidden beast` number, since 1 + 2 + 651 + 1 + 6 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (126511607) and next prime (126511657).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 126511596 and 126511605.

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 23 ways as a sum of consecutive naturals, for example, 49293 + ... + 51795.

Almost surely, 2^126511632 is an apocalyptic number.

126511632 is a gapful number since it is divisible by the number (12) 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 126511632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197785952).

126511632 is an abundant number, since it is smaller than the sum of its proper divisors (269060272).

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

126511632 is a wasteful number, since it uses less digits than its factorization.

126511632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2521 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 126511632 is about 11247.7389727892. The cubic root of 126511632 is about 502.0074389251.

The spelling of 126511632 in words is "one hundred twenty-six million, five hundred eleven thousand, six hundred thirty-two".