115251840 has 384 divisors, whose sum is σ = 463993920. Its totient is φ = 26050560.

The previous prime is 115251833. The next prime is 115251841. The reversal of 115251840 is 48152511.

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

It is not an unprimeable number, because it can be changed into a prime (115251841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077067 + ... + 1077173.

Almost surely, 2^115251840 is an apocalyptic number.

115251840 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 115251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231996960).

115251840 is an abundant number, since it is smaller than the sum of its proper divisors (348742080).

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

115251840 is a wasteful number, since it uses less digits than its factorization.

115251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 115251840 is about 10735.5409737935. The cubic root of 115251840 is about 486.6491351246.

The spelling of 115251840 in words is "one hundred fifteen million, two hundred fifty-one thousand, eight hundred forty".