114534420 has 192 divisors, whose sum is σ = 430811136. Its totient is φ = 21957120.

The previous prime is 114534401. The next prime is 114534449. The reversal of 114534420 is 24435411.

114534420 = 823² + 824² + ... + 965².

It is a super-3 number, since 3×114534420³ (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 63 ways as a sum of consecutive naturals, for example, 59107 + ... + 61013.

It is an arithmetic number, because the mean of its divisors is an integer number (2243808).

Almost surely, 2^114534420 is an apocalyptic number.

114534420 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 114534420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215405568).

114534420 is an abundant number, since it is smaller than the sum of its proper divisors (316276716).

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

114534420 is a wasteful number, since it uses less digits than its factorization.

114534420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 114534420 is about 10702.0754996402. The cubic root of 114534420 is about 485.6372676530.

Adding to 114534420 its reverse (24435411), we get a palindrome (138969831).

Subtracting from 114534420 its reverse (24435411), we obtain a palindrome (90099009).

The spelling of 114534420 in words is "one hundred fourteen million, five hundred thirty-four thousand, four hundred twenty".