126637632 has 252 divisors, whose sum is σ = 421599360. Its totient is φ = 36241920.

The previous prime is 126637601. The next prime is 126637639. The reversal of 126637632 is 236736621.

126637632 is a `hidden beast` number, since 12 + 6 + 6 + 3 + 7 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (126637639) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1602969 + ... + 1603047.

Almost surely, 2^126637632 is an apocalyptic number.

126637632 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 126637632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210799680).

126637632 is an abundant number, since it is smaller than the sum of its proper divisors (294961728).

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

126637632 is a wasteful number, since it uses less digits than its factorization.

126637632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 126637632 is about 11253.3387045801. The cubic root of 126637632 is about 502.1740427092.

The spelling of 126637632 in words is "one hundred twenty-six million, six hundred thirty-seven thousand, six hundred thirty-two".