114171200 has 168 divisors, whose sum is σ = 330708000. Its totient is φ = 38246400.

The previous prime is 114171191. The next prime is 114171217. The reversal of 114171200 is 2171411.

It is a super-3 number, since 3×114171200³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228551 + ... + 229049.

It is an arithmetic number, because the mean of its divisors is an integer number (1968500).

Almost surely, 2^114171200 is an apocalyptic number.

114171200 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 114171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165354000).

114171200 is an abundant number, since it is smaller than the sum of its proper divisors (216536800).

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

114171200 is a wasteful number, since it uses less digits than its factorization.

114171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 114171200 is about 10685.0924188797. The cubic root of 114171200 is about 485.1233611166.

The spelling of 114171200 in words is "one hundred fourteen million, one hundred seventy-one thousand, two hundred".