115481952 has 144 divisors (see below), whose sum is σ = 352628640. Its totient is φ = 35721216.

The previous prime is 115481929. The next prime is 115481957. The reversal of 115481952 is 259184511.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115481957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504174 + ... + 504402.

It is an arithmetic number, because the mean of its divisors is an integer number (2448810).

Almost surely, 2^115481952 is an apocalyptic number.

115481952 is a gapful number since it is divisible by the number (12) 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 115481952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176314320).

115481952 is an abundant number, since it is smaller than the sum of its proper divisors (237146688).

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

115481952 is a wasteful number, since it uses less digits than its factorization.

115481952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 115481952 is about 10746.2529283467. The cubic root of 115481952 is about 486.9728012784.

The spelling of 115481952 in words is "one hundred fifteen million, four hundred eighty-one thousand, nine hundred fifty-two".