117045000 has 300 divisors, whose sum is σ = 435177105. Its totient is φ = 29376000.

The previous prime is 117044971. The next prime is 117045077. The reversal of 117045000 is 540711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 15876 + 117029124 = 126^2 + 10818^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7650.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 6884992 + ... + 6885008.

Almost surely, 2^117045000 is an apocalyptic number.

117045000 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 117045000

117045000 is an abundant number, since it is smaller than the sum of its proper divisors (318132105).

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

117045000 is an equidigital number, since it uses as much as digits as its factorization.

117045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 117045000 is about 10818.7337521542. The cubic root of 117045000 is about 489.1600213987.

Multiplying 117045000 by its sum of digits (18), we get a square (2106810000 = 45900²).

117045000 divided by its sum of digits (18) gives a square (6502500 = 2550²).

Adding to 117045000 its reverse (540711), we get a palindrome (117585711).

The spelling of 117045000 in words is "one hundred seventeen million, forty-five thousand".