112377540 has 144 divisors (see below), whose sum is σ = 361436544. Its totient is φ = 26019840.

The previous prime is 112377539. The next prime is 112377557. The reversal of 112377540 is 45773211.

It is a super-2 number, since 2×112377540² = 25257422992903200, which contains 22 as substring.

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 = 112377498 and 112377507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166644 + ... + 167316.

It is an arithmetic number, because the mean of its divisors is an integer number (2509976).

Almost surely, 2^112377540 is an apocalyptic number.

112377540 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 112377540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180718272).

112377540 is an abundant number, since it is smaller than the sum of its proper divisors (249059004).

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

112377540 is a wasteful number, since it uses less digits than its factorization.

112377540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 112377540 is about 10600.8273262043. The cubic root of 112377540 is about 482.5694674784.

The spelling of 112377540 in words is "one hundred twelve million, three hundred seventy-seven thousand, five hundred forty".