117140400 has 180 divisors, whose sum is σ = 437954608. Its totient is φ = 28823040.

The previous prime is 117140383. The next prime is 117140407. The reversal of 117140400 is 4041711.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (117140407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45549 + ... + 48051.

Almost surely, 2^117140400 is an apocalyptic number.

117140400 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 117140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218977304).

117140400 is an abundant number, since it is smaller than the sum of its proper divisors (320814208).

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

117140400 is a wasteful number, since it uses less digits than its factorization.

117140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 117140400 is about 10823.1418728574. The cubic root of 117140400 is about 489.2928853773.

The spelling of 117140400 in words is "one hundred seventeen million, one hundred forty thousand, four hundred".