131874210000 has 400 divisors, whose sum is σ = 509407187520. Its totient is φ = 32460480000.

The previous prime is 131874209981. The next prime is 131874210011. The reversal of 131874210000 is 12478131.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3491215 + ... + 3528785.

Almost surely, 2^131874210000 is an apocalyptic number.

131874210000 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 131874210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254703593760).

131874210000 is an abundant number, since it is smaller than the sum of its proper divisors (377532977520).

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

131874210000 is a wasteful number, since it uses less digits than its factorization.

131874210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37621 (or 37594 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 131874210000 its reverse (12478131), we get a palindrome (131886688131).

The spelling of 131874210000 in words is "one hundred thirty-one billion, eight hundred seventy-four million, two hundred ten thousand".