126136416 has 96 divisors (see below), whose sum is σ = 394910208. Its totient is φ = 34467840.

The previous prime is 126136369. The next prime is 126136453. The reversal of 126136416 is 614631621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11376 + ... + 19536.

It is an arithmetic number, because the mean of its divisors is an integer number (4113648).

Almost surely, 2^126136416 is an apocalyptic number.

126136416 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 126136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197455104).

126136416 is an abundant number, since it is smaller than the sum of its proper divisors (268773792).

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

126136416 is a wasteful number, since it uses less digits than its factorization.

126136416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204 (or 8196 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 126136416 is about 11231.0469681148. The cubic root of 126136416 is about 501.5106525943.

The spelling of 126136416 in words is "one hundred twenty-six million, one hundred thirty-six thousand, four hundred sixteen".