115156720 has 160 divisors (see below), whose sum is σ = 328550400. Its totient is φ = 36661248.

The previous prime is 115156673. The next prime is 115156733. The reversal of 115156720 is 27651511.

It is a super-3 number, since 3×115156720³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840492 + ... + 840628.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 2^115156720 is an apocalyptic number.

115156720 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 115156720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164275200).

115156720 is an abundant number, since it is smaller than the sum of its proper divisors (213393680).

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

115156720 is a wasteful number, since it uses less digits than its factorization.

115156720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 115156720 is about 10731.1099146360. The cubic root of 115156720 is about 486.5152173600.

The spelling of 115156720 in words is "one hundred fifteen million, one hundred fifty-six thousand, seven hundred twenty".