126633136 has 40 divisors (see below), whose sum is σ = 296900640. Its totient is φ = 51078144.

The previous prime is 126633131. The next prime is 126633137. The reversal of 126633136 is 631336621.

It is a super-2 number, since 2×126633136² = 32071902266388992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126633098 and 126633107.

It is not an unprimeable number, because it can be changed into a prime (126633131) 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 7 ways as a sum of consecutive naturals, for example, 31351 + ... + 35158.

It is an arithmetic number, because the mean of its divisors is an integer number (7422516).

Almost surely, 2^126633136 is an apocalyptic number.

126633136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126633136 is an abundant number, since it is smaller than the sum of its proper divisors (170267504).

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

126633136 is a wasteful number, since it uses less digits than its factorization.

126633136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66541 (or 66535 counting only the distinct ones).

The product of its digits is 11664, while the sum is 31.

The square root of 126633136 is about 11253.1389398692. The cubic root of 126633136 is about 502.1680997648.

Adding to 126633136 its reverse (631336621), we get a palindrome (757969757).

The spelling of 126633136 in words is "one hundred twenty-six million, six hundred thirty-three thousand, one hundred thirty-six".