115945140 has 96 divisors (see below), whose sum is σ = 334978560. Its totient is φ = 29952000.

The previous prime is 115945121. The next prime is 115945147. The reversal of 115945140 is 41549511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 115945098 and 115945107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115945147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288940 + ... + 289340.

It is an arithmetic number, because the mean of its divisors is an integer number (3489360).

Almost surely, 2^115945140 is an apocalyptic number.

115945140 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 115945140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167489280).

115945140 is an abundant number, since it is smaller than the sum of its proper divisors (219033420).

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

115945140 is a wasteful number, since it uses less digits than its factorization.

115945140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 115945140 is about 10767.7825015181. The cubic root of 115945140 is about 487.6230011786.

The spelling of 115945140 in words is "one hundred fifteen million, nine hundred forty-five thousand, one hundred forty".