115537940 has 48 divisors (see below), whose sum is σ = 280070784. Its totient is φ = 39216000.

The previous prime is 115537937. The next prime is 115537957. The reversal of 115537940 is 49735511.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 115537940.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10055 + ... + 18225.

It is an arithmetic number, because the mean of its divisors is an integer number (5834808).

Almost surely, 2^115537940 is an apocalyptic number.

115537940 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 115537940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140035392).

115537940 is an abundant number, since it is smaller than the sum of its proper divisors (164532844).

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

115537940 is a wasteful number, since it uses less digits than its factorization.

115537940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 115537940 is about 10748.8576137188. The cubic root of 115537940 is about 487.0514866712.

The spelling of 115537940 in words is "one hundred fifteen million, five hundred thirty-seven thousand, nine hundred forty".