131205415500 has 144 divisors (see below), whose sum is σ = 414420420960. Its totient is φ = 34944912000.

The previous prime is 131205415499. The next prime is 131205415513. The reversal of 131205415500 is 5514502131.

131205415500 is a `hidden beast` number, since 131 + 20 + 5 + 4 + 1 + 5 + 500 = 666.

It is a super-2 number, since 2×131205415500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3712915 + ... + 3748085.

It is an arithmetic number, because the mean of its divisors is an integer number (2877919590).

Almost surely, 2^131205415500 is an apocalyptic number.

131205415500 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 131205415500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207210210480).

131205415500 is an abundant number, since it is smaller than the sum of its proper divisors (283215005460).

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

131205415500 is a wasteful number, since it uses less digits than its factorization.

131205415500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36025 (or 36010 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 131205415500 its reverse (5514502131), we get a palindrome (136719917631).

The spelling of 131205415500 in words is "one hundred thirty-one billion, two hundred five million, four hundred fifteen thousand, five hundred".