131504100 has 144 divisors (see below), whose sum is σ = 468386688. Its totient is φ = 27740160.

The previous prime is 131504099. The next prime is 131504159. The reversal of 131504100 is 1405131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131504100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24892 + ... + 29708.

Almost surely, 2^131504100 is an apocalyptic number.

131504100 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 131504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234193344).

131504100 is an abundant number, since it is smaller than the sum of its proper divisors (336882588).

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

131504100 is a wasteful number, since it uses less digits than its factorization.

131504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 131504100 is about 11467.5237082816. The cubic root of 131504100 is about 508.5259242175.

Adding to 131504100 its reverse (1405131), we get a palindrome (132909231).

The spelling of 131504100 in words is "one hundred thirty-one million, five hundred four thousand, one hundred".