131501760 has 224 divisors, whose sum is σ = 462393792. Its totient is φ = 31457280.

The previous prime is 131501753. The next prime is 131501761. The reversal of 131501760 is 67105131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131501760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131501761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511552 + ... + 511808.

It is an arithmetic number, because the mean of its divisors is an integer number (2064258).

Almost surely, 2^131501760 is an apocalyptic number.

131501760 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 131501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231196896).

131501760 is an abundant number, since it is smaller than the sum of its proper divisors (330892032).

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

131501760 is a wasteful number, since it uses less digits than its factorization.

131501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 131501760 is about 11467.4216805697. The cubic root of 131501760 is about 508.5229079422.

Adding to 131501760 its reverse (67105131), we get a palindrome (198606891).

The spelling of 131501760 in words is "one hundred thirty-one million, five hundred one thousand, seven hundred sixty".