131462611400 has 96 divisors (see below), whose sum is σ = 315748243200. Its totient is φ = 50850374400.

The previous prime is 131462611391. The next prime is 131462611417. The reversal of 131462611400 is 4116264131.

It is a super-2 number, since 2×131462611400² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 9038534 + ... + 9053066.

It is an arithmetic number, because the mean of its divisors is an integer number (3289044200).

Almost surely, 2^131462611400 is an apocalyptic number.

131462611400 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 131462611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157874121600).

131462611400 is an abundant number, since it is smaller than the sum of its proper divisors (184285631800).

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

131462611400 is a wasteful number, since it uses less digits than its factorization.

131462611400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16039 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 131462611400 its reverse (4116264131), we get a palindrome (135578875531).

The spelling of 131462611400 in words is "one hundred thirty-one billion, four hundred sixty-two million, six hundred eleven thousand, four hundred".