126016 has 28 divisors (see below), whose sum is σ = 274320. Its totient is φ = 56960.

The previous prime is 126013. The next prime is 126019. The reversal of 126016 is 610621.

It is an interprime number because it is at equal distance from previous prime (126013) and next prime (126019).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (126011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 615 + ... + 793.

2¹²⁶⁰¹⁶ is an apocalyptic number.

126016 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 126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137160).

126016 is an abundant number, since it is smaller than the sum of its proper divisors (148304).

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

126016 is a wasteful number, since it uses less digits than its factorization.

126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 126016 is about 354.9873237173. The cubic root of 126016 is about 50.1351012907.

Adding to 126016 its reverse (610621), we get a palindrome (736637).

The spelling of 126016 in words is "one hundred twenty-six thousand, sixteen".