115141520 has 80 divisors (see below), whose sum is σ = 303522240. Its totient is φ = 40269312.

The previous prime is 115141511. The next prime is 115141529. The reversal of 115141520 is 25141511.

It is an interprime number because it is at equal distance from previous prime (115141511) and next prime (115141529).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 115141492 and 115141501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115141529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16847 + ... + 22673.

It is an arithmetic number, because the mean of its divisors is an integer number (3794028).

Almost surely, 2^115141520 is an apocalyptic number.

115141520 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 115141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151761120).

115141520 is an abundant number, since it is smaller than the sum of its proper divisors (188380720).

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

115141520 is a wasteful number, since it uses less digits than its factorization.

115141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 115141520 is about 10730.4016700215. The cubic root of 115141520 is about 486.4938107161.

Subtracting from 115141520 its reverse (25141511), we obtain a palindrome (90000009).

The spelling of 115141520 in words is "one hundred fifteen million, one hundred forty-one thousand, five hundred twenty".