112137520 has 80 divisors (see below), whose sum is σ = 289222560. Its totient is φ = 40089600.

The previous prime is 112137517. The next prime is 112137521. The reversal of 112137520 is 25731211.

112137520 = 25² + 26² + ... + 695².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112137491 and 112137500.

It is not an unprimeable number, because it can be changed into a prime (112137521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52636 + ... + 54724.

It is an arithmetic number, because the mean of its divisors is an integer number (3615282).

Almost surely, 2^112137520 is an apocalyptic number.

112137520 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 112137520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144611280).

112137520 is an abundant number, since it is smaller than the sum of its proper divisors (177085040).

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

112137520 is a wasteful number, since it uses less digits than its factorization.

112137520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 112137520 is about 10589.5004603617. The cubic root of 112137520 is about 482.2256595028.

Adding to 112137520 its reverse (25731211), we get a palindrome (137868731).

The spelling of 112137520 in words is "one hundred twelve million, one hundred thirty-seven thousand, five hundred twenty".