131682690000 has 300 divisors, whose sum is σ = 468337584000. Its totient is φ = 34518816000.

The previous prime is 131682689993. The next prime is 131682690001. The reversal of 131682690000 is 96286131.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×131682690000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131682690001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5297601 + ... + 5322399.

It is an arithmetic number, because the mean of its divisors is an integer number (1561125280).

Almost surely, 2^131682690000 is an apocalyptic number.

131682690000 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 131682690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234168792000).

131682690000 is an abundant number, since it is smaller than the sum of its proper divisors (336654894000).

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

131682690000 is a wasteful number, since it uses less digits than its factorization.

131682690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24892 (or 24868 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 131682690000 in words is "one hundred thirty-one billion, six hundred eighty-two million, six hundred ninety thousand".