113514000 has 80 divisors (see below), whose sum is σ = 365988480. Its totient is φ = 30268800.

The previous prime is 113513941. The next prime is 113514029. The reversal of 113514000 is 415311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3460 + ... + 15459.

It is an arithmetic number, because the mean of its divisors is an integer number (4574856).

Almost surely, 2^113514000 is an apocalyptic number.

113514000 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 113514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182994240).

113514000 is an abundant number, since it is smaller than the sum of its proper divisors (252474480).

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

113514000 is a wasteful number, since it uses less digits than its factorization.

113514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18945 (or 18929 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 113514000 is about 10654.2949086272. The cubic root of 113514000 is about 484.1907360167.

Adding to 113514000 its reverse (415311), we get a palindrome (113929311).

It can be divided in two parts, 11351 and 4000, that added together give a palindrome (15351).

The spelling of 113514000 in words is "one hundred thirteen million, five hundred fourteen thousand".