117132750 has 256 divisors, whose sum is σ = 386979840. Its totient is φ = 25660800.

The previous prime is 117132727. The next prime is 117132773. The reversal of 117132750 is 57231711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117132727) and next prime (117132773).

It is a super-2 number, since 2×117132750² = 27440162245125000, which contains 22 as substring.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 117132750 = 145³ + 485³ = 303³ + 447³.

It is a Curzon number.

It is a congruent number.

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, 1748217 + ... + 1748283.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640).

Almost surely, 2^117132750 is an apocalyptic number.

117132750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117132750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193489920).

117132750 is an abundant number, since it is smaller than the sum of its proper divisors (269847090).

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

117132750 is a wasteful number, since it uses less digits than its factorization.

117132750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 117132750 is about 10822.7884576943. The cubic root of 117132750 is about 489.2822338513.

The spelling of 117132750 in words is "one hundred seventeen million, one hundred thirty-two thousand, seven hundred fifty".