126117136 has 40 divisors (see below), whose sum is σ = 260781920. Its totient is φ = 58910976.

The previous prime is 126117133. The next prime is 126117139. The reversal of 126117136 is 631711621.

It is an interprime number because it is at equal distance from previous prime (126117133) and next prime (126117139).

It is not an unprimeable number, because it can be changed into a prime (126117133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19351 + ... + 25033.

It is an arithmetic number, because the mean of its divisors is an integer number (6519548).

Almost surely, 2^126117136 is an apocalyptic number.

126117136 is a gapful number since it is divisible by the number (16) 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 126117136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130390960).

126117136 is an abundant number, since it is smaller than the sum of its proper divisors (134664784).

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

126117136 is a wasteful number, since it uses less digits than its factorization.

126117136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5777 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 126117136 is about 11230.1886003753. The cubic root of 126117136 is about 501.4850992598.

Adding to 126117136 its reverse (631711621), we get a palindrome (757828757).

It can be divided in two parts, 126117 and 136, that added together give a triangular number (126253 = T₅₀₂).

The spelling of 126117136 in words is "one hundred twenty-six million, one hundred seventeen thousand, one hundred thirty-six".