113145203040 has 192 divisors, whose sum is σ = 363689948160. Its totient is φ = 29561425920.

The previous prime is 113145202999. The next prime is 113145203117. The reversal of 113145203040 is 40302541311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113145203040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4956132 + ... + 4978908.

It is an arithmetic number, because the mean of its divisors is an integer number (1894218480).

Almost surely, 2^113145203040 is an apocalyptic number.

113145203040 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 113145203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181844974080).

113145203040 is an abundant number, since it is smaller than the sum of its proper divisors (250544745120).

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

113145203040 is a wasteful number, since it uses less digits than its factorization.

113145203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23005 (or 22997 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 113145203040 its reverse (40302541311), we get a palindrome (153447744351).

The spelling of 113145203040 in words is "one hundred thirteen billion, one hundred forty-five million, two hundred three thousand, forty".