113537024640 has 384 divisors, whose sum is σ = 425575987200. Its totient is φ = 27725193216.

The previous prime is 113537024617. The next prime is 113537024651. The reversal of 113537024640 is 46420735311.

113537024640 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 7 + 0 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 113537024595 and 113537024604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9503791 + ... + 9515729.

It is an arithmetic number, because the mean of its divisors is an integer number (1108270800).

Almost surely, 2^113537024640 is an apocalyptic number.

113537024640 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 113537024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212787993600).

113537024640 is an abundant number, since it is smaller than the sum of its proper divisors (312038962560).

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

113537024640 is a wasteful number, since it uses less digits than its factorization.

113537024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12104 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 113537024640 its reverse (46420735311), we get a palindrome (159957759951).

The spelling of 113537024640 in words is "one hundred thirteen billion, five hundred thirty-seven million, twenty-four thousand, six hundred forty".