131603780 has 96 divisors (see below), whose sum is σ = 348509952. Its totient is φ = 40550400.

The previous prime is 131603777. The next prime is 131603819. The reversal of 131603780 is 87306131.

131603780 = 382² + 383² + ... + 766².

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 148940 + ... + 149820.

It is an arithmetic number, because the mean of its divisors is an integer number (3630312).

Almost surely, 2^131603780 is an apocalyptic number.

131603780 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 131603780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174254976).

131603780 is an abundant number, since it is smaller than the sum of its proper divisors (216906172).

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

131603780 is a wasteful number, since it uses less digits than its factorization.

131603780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 131603780 is about 11471.8690717773. The cubic root of 131603780 is about 508.6543791779.

The spelling of 131603780 in words is "one hundred thirty-one million, six hundred three thousand, seven hundred eighty".