126182016 has 128 divisors (see below), whose sum is σ = 385560000. Its totient is φ = 40578048.

The previous prime is 126182003. The next prime is 126182101. The reversal of 126182016 is 610281621.

126182016 is a `hidden beast` number, since 12 + 618 + 20 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 99595 + ... + 100853.

Almost surely, 2^126182016 is an apocalyptic number.

126182016 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 126182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192780000).

126182016 is an abundant number, since it is smaller than the sum of its proper divisors (259377984).

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

126182016 is a wasteful number, since it uses less digits than its factorization.

126182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 126182016 is about 11233.0768714542. The cubic root of 126182016 is about 501.5710795807.

The spelling of 126182016 in words is "one hundred twenty-six million, one hundred eighty-two thousand, sixteen".