131745724500 has 576 divisors, whose sum is σ = 463299782400. Its totient is φ = 28897689600.

The previous prime is 131745724469. The next prime is 131745724529. The reversal of 131745724500 is 5427547131.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 81879696 + ... + 81881304.

It is an arithmetic number, because the mean of its divisors is an integer number (804339900).

Almost surely, 2^131745724500 is an apocalyptic number.

131745724500 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 131745724500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231649891200).

131745724500 is an abundant number, since it is smaller than the sum of its proper divisors (331554057900).

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

131745724500 is a wasteful number, since it uses less digits than its factorization.

131745724500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 131745724500 in words is "one hundred thirty-one billion, seven hundred forty-five million, seven hundred twenty-four thousand, five hundred".