131215140 has 432 divisors, whose sum is σ = 522849600. Its totient is φ = 27433728.

The previous prime is 131215127. The next prime is 131215141. The reversal of 131215140 is 41512131.

131215140 is a `hidden beast` number, since 131 + 21 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131215141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4524646 + ... + 4524674.

It is an arithmetic number, because the mean of its divisors is an integer number (1210300).

Almost surely, 2^131215140 is an apocalyptic number.

131215140 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 131215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

131215140 is an abundant number, since it is smaller than the sum of its proper divisors (391634460).

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

131215140 is a wasteful number, since it uses less digits than its factorization.

131215140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131215140 is about 11454.9177212235. The cubic root of 131215140 is about 508.1531819448.

Adding to 131215140 its reverse (41512131), we get a palindrome (172727271).

The spelling of 131215140 in words is "one hundred thirty-one million, two hundred fifteen thousand, one hundred forty".