131511040 has 72 divisors (see below), whose sum is σ = 317882880. Its totient is φ = 52125696.

The previous prime is 131511001. The next prime is 131511043. The reversal of 131511040 is 40115131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131511043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162156 + ... + 162964.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2^131511040 is an apocalyptic number.

131511040 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 131511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

131511040 is an abundant number, since it is smaller than the sum of its proper divisors (186371840).

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

131511040 is an equidigital number, since it uses as much as digits as its factorization.

131511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 131511040 is about 11467.8262979520. The cubic root of 131511040 is about 508.5348697126.

Adding to 131511040 its reverse (40115131), we get a palindrome (171626171).

The spelling of 131511040 in words is "one hundred thirty-one million, five hundred eleven thousand, forty".