81126144000 has 1152 divisors, whose sum is σ = 333055195200. Its totient is φ = 19464192000.

The previous prime is 81126143963. The next prime is 81126144013. The reversal of 81126144000 is 44162118.

It is a happy number.

81126144000 is a `hidden beast` number, since 8 + 1 + 1 + 2 + 614 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 836351952 + ... + 836352048.

Almost surely, 2^81126144000 is an apocalyptic number.

81126144000 is a gapful number since it is divisible by the number (80) 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 81126144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166527597600).

81126144000 is an abundant number, since it is smaller than the sum of its proper divisors (251929051200).

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

81126144000 is a wasteful number, since it uses less digits than its factorization.

81126144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 81126144000 in words is "eighty-one billion, one hundred twenty-six million, one hundred forty-four thousand".