113005382148 has 192 divisors, whose sum is σ = 320693452800. Its totient is φ = 34280029440.

The previous prime is 113005382141. The next prime is 113005382221. The reversal of 113005382148 is 841283500311.

113005382148 is a `hidden beast` number, since 1 + 130 + 0 + 5 + 382 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113005382141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8708361 + ... + 8721327.

It is an arithmetic number, because the mean of its divisors is an integer number (1670278400).

Almost surely, 2^113005382148 is an apocalyptic number.

113005382148 is a gapful number since it is divisible by the number (18) 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 113005382148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160346726400).

113005382148 is an abundant number, since it is smaller than the sum of its proper divisors (207688070652).

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

113005382148 is a wasteful number, since it uses less digits than its factorization.

113005382148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13167 (or 13159 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 113005382148 its reverse (841283500311), we get a palindrome (954288882459).

It can be divided in two parts, 1130053 and 82148, that added together give a square (1212201 = 1101²).

The spelling of 113005382148 in words is "one hundred thirteen billion, five million, three hundred eighty-two thousand, one hundred forty-eight".