117829152 has 144 divisors (see below), whose sum is σ = 386148672. Its totient is φ = 33384960.

The previous prime is 117829133. The next prime is 117829157. The reversal of 117829152 is 251928711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×117829152² = 27767418122078208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (117829157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425238 + ... + 425514.

It is an arithmetic number, because the mean of its divisors is an integer number (2681588).

Almost surely, 2^117829152 is an apocalyptic number.

117829152 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 117829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193074336).

117829152 is an abundant number, since it is smaller than the sum of its proper divisors (268319520).

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

117829152 is a wasteful number, since it uses less digits than its factorization.

117829152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

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

The square root of 117829152 is about 10854.9137260505. The cubic root of 117829152 is about 490.2499793483.

The spelling of 117829152 in words is "one hundred seventeen million, eight hundred twenty-nine thousand, one hundred fifty-two".