115153920 has 528 divisors, whose sum is σ = 504053280. Its totient is φ = 24772608.

The previous prime is 115153919. The next prime is 115153921. The reversal of 115153920 is 29351511.

115153920 = 7³ + 8³ + ... + 146³.

It is an interprime number because it is at equal distance from previous prime (115153919) and next prime (115153921).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115153921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6773752 + ... + 6773768.

Almost surely, 2^115153920 is an apocalyptic number.

115153920 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 115153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252026640).

115153920 is an abundant number, since it is smaller than the sum of its proper divisors (388899360).

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

115153920 is a wasteful number, since it uses less digits than its factorization.

115153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 115153920 is about 10730.9794520351. The cubic root of 115153920 is about 486.5112741724.

The spelling of 115153920 in words is "one hundred fifteen million, one hundred fifty-three thousand, nine hundred twenty".