131614000 has 240 divisors, whose sum is σ = 396938880. Its totient is φ = 41932800.

The previous prime is 131613967. The next prime is 131614019. The reversal of 131614000 is 416131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1665961 + ... + 1666039.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^131614000 is an apocalyptic number.

131614000 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 131614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

131614000 is an abundant number, since it is smaller than the sum of its proper divisors (265324880).

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

131614000 is a wasteful number, since it uses less digits than its factorization.

131614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131614000 is about 11472.3145005705. The cubic root of 131614000 is about 508.6675457531.

It can be divided in two parts, 13161 and 4000, that added together give a square (17161 = 131²).

The spelling of 131614000 in words is "one hundred thirty-one million, six hundred fourteen thousand".