113145648 has 200 divisors, whose sum is σ = 383427840. Its totient is φ = 28110720.

The previous prime is 113145607. The next prime is 113145649. The reversal of 113145648 is 846541311.

It is a super-2 number, since 2×113145648² = 25603875322679808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (113145649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4919365 + ... + 4919387.

Almost surely, 2^113145648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113145648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191713920).

113145648 is an abundant number, since it is smaller than the sum of its proper divisors (270282192).

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

113145648 is an equidigital number, since it uses as much as digits as its factorization.

113145648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 113145648 is about 10636.9943123046. The cubic root of 113145648 is about 483.6664368344. Note that the first 3 decimals are identical.

Adding to 113145648 its reverse (846541311), we get a palindrome (959686959).

The spelling of 113145648 in words is "one hundred thirteen million, one hundred forty-five thousand, six hundred forty-eight".