126544142016 has 168 divisors, whose sum is σ = 375516648000. Its totient is φ = 40695029760.

The previous prime is 126544141939. The next prime is 126544142051. The reversal of 126544142016 is 610241445621.

126544142016 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 441 + 4 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31251160 + ... + 31255208.

Almost surely, 2^126544142016 is an apocalyptic number.

126544142016 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 126544142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187758324000).

126544142016 is an abundant number, since it is smaller than the sum of its proper divisors (248972505984).

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

126544142016 is a wasteful number, since it uses less digits than its factorization.

126544142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 126544142016 its reverse (610241445621), we get a palindrome (736785587637).

The spelling of 126544142016 in words is "one hundred twenty-six billion, five hundred forty-four million, one hundred forty-two thousand, sixteen".