115737984 has 144 divisors (see below), whose sum is σ = 351138060. Its totient is φ = 37946880.

The previous prime is 115737977. The next prime is 115737991. The reversal of 115737984 is 489737511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

115737984 is a `hidden beast` number, since 1 + 1 + 573 + 79 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (115737977) and next prime (115737991).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1897314 + ... + 1897374.

Almost surely, 2^115737984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115737984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175569030).

115737984 is an abundant number, since it is smaller than the sum of its proper divisors (235400076).

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

115737984 is an frugal number, since it uses more digits than its factorization.

115737984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 66 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 115737984 is about 10758.1589503037. The cubic root of 115737984 is about 487.3324205072.

The spelling of 115737984 in words is "one hundred fifteen million, seven hundred thirty-seven thousand, nine hundred eighty-four".