112151040 has 160 divisors (see below), whose sum is σ = 380064960. Its totient is φ = 28114944.

The previous prime is 112151003. The next prime is 112151041. The reversal of 112151040 is 40151211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112151041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130131 + ... + 130989.

It is an arithmetic number, because the mean of its divisors is an integer number (2375406).

Almost surely, 2^112151040 is an apocalyptic number.

112151040 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 112151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190032480).

112151040 is an abundant number, since it is smaller than the sum of its proper divisors (267913920).

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

112151040 is an equidigital number, since it uses as much as digits as its factorization.

112151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 112151040 is about 10590.1388092886. The cubic root of 112151040 is about 482.2450387701.

The spelling of 112151040 in words is "one hundred twelve million, one hundred fifty-one thousand, forty".