115342920 has 512 divisors, whose sum is σ = 511488000. Its totient is φ = 22394880.

The previous prime is 115342891. The next prime is 115342933. The reversal of 115342920 is 29243511.

115342920 = T₄₀₀ + T₄₀₁ + ... + T₉₁₀.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1580004 + ... + 1580076.

It is an arithmetic number, because the mean of its divisors is an integer number (999000).

Almost surely, 2^115342920 is an apocalyptic number.

115342920 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 115342920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255744000).

115342920 is an abundant number, since it is smaller than the sum of its proper divisors (396145080).

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

115342920 is a wasteful number, since it uses less digits than its factorization.

115342920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 115342920 is about 10739.7821206950. The cubic root of 115342920 is about 486.7772960065. Note that the first 3 decimals are identical.

The spelling of 115342920 in words is "one hundred fifteen million, three hundred forty-two thousand, nine hundred twenty".