113748835200 has 2304 divisors, whose sum is σ = 545027616000. Its totient is φ = 20437401600.

The previous prime is 113748835177. The next prime is 113748835223. The reversal of 113748835200 is 2538847311.

It is an interprime number because it is at equal distance from previous prime (113748835177) and next prime (113748835223).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1278076756 + ... + 1278076844.

It is an arithmetic number, because the mean of its divisors is an integer number (236557125).

Almost surely, 2^113748835200 is an apocalyptic number.

113748835200 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 113748835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272513808000).

113748835200 is an abundant number, since it is smaller than the sum of its proper divisors (431278780800).

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

113748835200 is a wasteful number, since it uses less digits than its factorization.

113748835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 113748835200 in words is "one hundred thirteen billion, seven hundred forty-eight million, eight hundred thirty-five thousand, two hundred".