114129600 has 336 divisors, whose sum is σ = 423306240. Its totient is φ = 26726400.

The previous prime is 114129593. The next prime is 114129607. The reversal of 114129600 is 6921411.

It is an interprime number because it is at equal distance from previous prime (114129593) and next prime (114129607).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114129607) 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, 1934371 + ... + 1934429.

It is an arithmetic number, because the mean of its divisors is an integer number (1259840).

Almost surely, 2^114129600 is an apocalyptic number.

114129600 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 114129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211653120).

114129600 is an abundant number, since it is smaller than the sum of its proper divisors (309176640).

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

114129600 is a wasteful number, since it uses less digits than its factorization.

114129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 114129600 is about 10683.1456041748. The cubic root of 114129600 is about 485.0644332860.

It can be divided in two parts, 11412 and 9600, that added together give a palindrome (21012).

The spelling of 114129600 in words is "one hundred fourteen million, one hundred twenty-nine thousand, six hundred".