112513632 has 192 divisors, whose sum is σ = 380878848. Its totient is φ = 28224000.

The previous prime is 112513619. The next prime is 112513657. The reversal of 112513632 is 236315211.

It is a super-3 number, since 3×112513632³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228907 + ... + 229397.

It is an arithmetic number, because the mean of its divisors is an integer number (1983744).

Almost surely, 2^112513632 is an apocalyptic number.

112513632 is a gapful number since it is divisible by the number (12) 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 112513632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190439424).

112513632 is an abundant number, since it is smaller than the sum of its proper divisors (268365216).

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

112513632 is a wasteful number, since it uses less digits than its factorization.

112513632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 112513632 is about 10607.2443169751. The cubic root of 112513632 is about 482.7641901098.

Adding to 112513632 its reverse (236315211), we get a palindrome (348828843).

The spelling of 112513632 in words is "one hundred twelve million, five hundred thirteen thousand, six hundred thirty-two".