113090145840 has 1600 divisors, whose sum is σ = 503630265600. Its totient is φ = 23410114560.

The previous prime is 113090145809. The next prime is 113090145869. The reversal of 113090145840 is 48541090311.

113090145840 is a `hidden beast` number, since 113 + 0 + 90 + 1 + 458 + 4 + 0 = 666.

It is a super-2 number, since 2×113090145840² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 113090145795 and 113090145804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1549180044 + ... + 1549180116.

It is an arithmetic number, because the mean of its divisors is an integer number (314768916).

Almost surely, 2^113090145840 is an apocalyptic number.

113090145840 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 113090145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251815132800).

113090145840 is an abundant number, since it is smaller than the sum of its proper divisors (390540119760).

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

113090145840 is a wasteful number, since it uses less digits than its factorization.

113090145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 113090145840 in words is "one hundred thirteen billion, ninety million, one hundred forty-five thousand, eight hundred forty".