112540160640 has 128 divisors (see below), whose sum is σ = 358884976320. Its totient is φ = 29997056000.

The previous prime is 112540160639. The next prime is 112540160651. The reversal of 112540160640 is 46061045211.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 112540160598 and 112540160607.

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, 4628515 + ... + 4652765.

Almost surely, 2^112540160640 is an apocalyptic number.

112540160640 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 112540160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179442488160).

112540160640 is an abundant number, since it is smaller than the sum of its proper divisors (246344815680).

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

112540160640 is a wasteful number, since it uses less digits than its factorization.

112540160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26690 (or 26678 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 112540160640 in words is "one hundred twelve billion, five hundred forty million, one hundred sixty thousand, six hundred forty".