112535280 has 240 divisors, whose sum is σ = 444409056. Its totient is φ = 25159680.

The previous prime is 112535273. The next prime is 112535281. The reversal of 112535280 is 82535211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112535281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102414 + ... + 103506.

Almost surely, 2^112535280 is an apocalyptic number.

112535280 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 112535280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222204528).

112535280 is an abundant number, since it is smaller than the sum of its proper divisors (331873776).

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

112535280 is a wasteful number, since it uses less digits than its factorization.

112535280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 112535280 is about 10608.2647025798. The cubic root of 112535280 is about 482.7951499405.

It can be divided in two parts, 1125 and 35280, that multiplied together give a square (39690000 = 6300²).

The spelling of 112535280 in words is "one hundred twelve million, five hundred thirty-five thousand, two hundred eighty".