117528192 has 128 divisors (see below), whose sum is σ = 358387200. Its totient is φ = 37877760.

The previous prime is 117528143. The next prime is 117528209. The reversal of 117528192 is 291825711.

It is a happy number.

117528192 is a `hidden beast` number, since 117 + 528 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106588 + ... + 107684.

It is an arithmetic number, because the mean of its divisors is an integer number (2799900).

Almost surely, 2^117528192 is an apocalyptic number.

117528192 is a gapful number since it is divisible by the number (12) 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 117528192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179193600).

117528192 is an abundant number, since it is smaller than the sum of its proper divisors (240859008).

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

117528192 is a wasteful number, since it uses less digits than its factorization.

117528192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 117528192 is about 10841.0420163377. The cubic root of 117528192 is about 489.8322235538.

The spelling of 117528192 in words is "one hundred seventeen million, five hundred twenty-eight thousand, one hundred ninety-two".