112951540 has 48 divisors (see below), whose sum is σ = 261410688. Its totient is φ = 40731264.

The previous prime is 112951537. The next prime is 112951541. The reversal of 112951540 is 45159211.

It is a junction number, because it is equal to n+sod(n) for n = 112951499 and 112951508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112951541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6129 + ... + 16231.

It is an arithmetic number, because the mean of its divisors is an integer number (5446056).

Almost surely, 2^112951540 is an apocalyptic number.

112951540 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 112951540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130705344).

112951540 is an abundant number, since it is smaller than the sum of its proper divisors (148459148).

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

112951540 is a wasteful number, since it uses less digits than its factorization.

112951540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10168 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 112951540 is about 10627.8662016418. The cubic root of 112951540 is about 483.3896924635.

The spelling of 112951540 in words is "one hundred twelve million, nine hundred fifty-one thousand, five hundred forty".