117545120 has 288 divisors, whose sum is σ = 372314880. Its totient is φ = 34621440.

The previous prime is 117545119. The next prime is 117545143. The reversal of 117545120 is 21545711.

117545120 = 441² + 442² + ... + 759².

It is a self number, because there is not a number n which added to its sum of digits gives 117545120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2500937 + ... + 2500983.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^117545120 is an apocalyptic number.

117545120 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 117545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

117545120 is an abundant number, since it is smaller than the sum of its proper divisors (254769760).

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

117545120 is a wasteful number, since it uses less digits than its factorization.

117545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 117545120 is about 10841.8227249849. The cubic root of 117545120 is about 489.8557398457.

The spelling of 117545120 in words is "one hundred seventeen million, five hundred forty-five thousand, one hundred twenty".