112067137440 has 192 divisors, whose sum is σ = 397201190400. Its totient is φ = 29506194432.

The previous prime is 112067137439. The next prime is 112067137463. The reversal of 112067137440 is 44731760211.

112067137440 is a `hidden beast` number, since 1 + 1 + 20 + 67 + 137 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112067137395 and 112067137404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177094 + ... + 505466.

It is an arithmetic number, because the mean of its divisors is an integer number (2068756200).

Almost surely, 2^112067137440 is an apocalyptic number.

112067137440 is a gapful number since it is divisible by the number (10) 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 112067137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198600595200).

112067137440 is an abundant number, since it is smaller than the sum of its proper divisors (285134052960).

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

112067137440 is a wasteful number, since it uses less digits than its factorization.

112067137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328476 (or 328462 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 112067137440 its reverse (44731760211), we get a palindrome (156798897651).

The spelling of 112067137440 in words is "one hundred twelve billion, sixty-seven million, one hundred thirty-seven thousand, four hundred forty".