114131700 has 144 divisors (see below), whose sum is σ = 376225920. Its totient is φ = 29664000.

The previous prime is 114131683. The next prime is 114131701. The reversal of 114131700 is 7131411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110185 + ... + 111215.

It is an arithmetic number, because the mean of its divisors is an integer number (2612680).

Almost surely, 2^114131700 is an apocalyptic number.

114131700 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 114131700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188112960).

114131700 is an abundant number, since it is smaller than the sum of its proper divisors (262094220).

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

114131700 is a wasteful number, since it uses less digits than its factorization.

114131700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 114131700 is about 10683.2438893812. The cubic root of 114131700 is about 485.0674083514.

The spelling of 114131700 in words is "one hundred fourteen million, one hundred thirty-one thousand, seven hundred".