131215000 has 160 divisors (see below), whose sum is σ = 368881920. Its totient is φ = 42768000.

The previous prime is 131214991. The next prime is 131215009. The reversal of 131215000 is 512131.

It is an interprime number because it is at equal distance from previous prime (131214991) and next prime (131215009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131215009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 804919 + ... + 805081.

It is an arithmetic number, because the mean of its divisors is an integer number (2305512).

Almost surely, 2^131215000 is an apocalyptic number.

131215000 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 131215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184440960).

131215000 is an abundant number, since it is smaller than the sum of its proper divisors (237666920).

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

131215000 is a wasteful number, since it uses less digits than its factorization.

131215000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 131215000 is about 11454.9116103094. The cubic root of 131215000 is about 508.1530012200.

Adding to 131215000 its reverse (512131), we get a palindrome (131727131).

The spelling of 131215000 in words is "one hundred thirty-one million, two hundred fifteen thousand".