113781507840 has 2592 divisors, whose sum is σ = 573107512320. Its totient is φ = 20875345920.

The previous prime is 113781507823. The next prime is 113781507857. The reversal of 113781507840 is 48705187311.

113781507840 is a `hidden beast` number, since 1 + 137 + 8 + 1 + 507 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113781507823) and next prime (113781507857).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4947022069 + ... + 4947022091.

Almost surely, 2^113781507840 is an apocalyptic number.

113781507840 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 113781507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286553756160).

113781507840 is an abundant number, since it is smaller than the sum of its proper divisors (459326004480).

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

113781507840 is a wasteful number, since it uses less digits than its factorization.

113781507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 113781507840 in words is "one hundred thirteen billion, seven hundred eighty-one million, five hundred seven thousand, eight hundred forty".