114131000 has 64 divisors (see below), whose sum is σ = 271589760. Its totient is φ = 44880000.

The previous prime is 114130981. The next prime is 114131023. The reversal of 114131000 is 131411.

It is a super-2 number, since 2×114131000² = 26051770322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60065 + ... + 61935.

It is an arithmetic number, because the mean of its divisors is an integer number (4243590).

Almost surely, 2^114131000 is an apocalyptic number.

114131000 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 114131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794880).

114131000 is an abundant number, since it is smaller than the sum of its proper divisors (157458760).

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

114131000 is a wasteful number, since it uses less digits than its factorization.

114131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 114131000 is about 10683.2111277462. The cubic root of 114131000 is about 485.0664166669.

Adding to 114131000 its reverse (131411), we get a palindrome (114262411).

The spelling of 114131000 in words is "one hundred fourteen million, one hundred thirty-one thousand".