126101632 has 48 divisors (see below), whose sum is σ = 265233150. Its totient is φ = 59710464.

The previous prime is 126101629. The next prime is 126101639. The reversal of 126101632 is 236101621.

It can be written as a sum of positive squares in only one way, i.e., 75064896 + 51036736 = 8664^2 + 7144^2 .

It is not an unprimeable number, because it can be changed into a prime (126101639) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44844 + ... + 47572.

Almost surely, 2^126101632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132616575).

126101632 is an abundant number, since it is smaller than the sum of its proper divisors (139131518).

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

126101632 is an equidigital number, since it uses as much as digits as its factorization.

126101632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 126101632 is about 11229.4982968964. The cubic root of 126101632 is about 501.4645486726.

The spelling of 126101632 in words is "one hundred twenty-six million, one hundred one thousand, six hundred thirty-two".