126131616 has 144 divisors (see below), whose sum is σ = 393513120. Its totient is φ = 38085120.

The previous prime is 126131569. The next prime is 126131657. The reversal of 126131616 is 616131621.

126131616 is a `hidden beast` number, since 12 + 6 + 1 + 31 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (1296) is a multiple of the sum of its prime divisors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 126131616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220611 + ... + 221181.

It is an arithmetic number, because the mean of its divisors is an integer number (2732730).

Almost surely, 2^126131616 is an apocalyptic number.

126131616 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 126131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196756560).

126131616 is an abundant number, since it is smaller than the sum of its proper divisors (267381504).

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

126131616 is a wasteful number, since it uses less digits than its factorization.

126131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 126131616 is about 11230.8332727363. The cubic root of 126131616 is about 501.5042910117.

The spelling of 126131616 in words is "one hundred twenty-six million, one hundred thirty-one thousand, six hundred sixteen".