131542704000 has 768 divisors, whose sum is σ = 511546613760. Its totient is φ = 33530112000.

The previous prime is 131542703959. The next prime is 131542704017. The reversal of 131542704000 is 407245131.

131542704000 is a `hidden beast` number, since 13 + 1 + 542 + 70 + 40 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89423265 + ... + 89424735.

It is an arithmetic number, because the mean of its divisors is an integer number (666076320).

Almost surely, 2^131542704000 is an apocalyptic number.

131542704000 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 131542704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255773306880).

131542704000 is an abundant number, since it is smaller than the sum of its proper divisors (380003909760).

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

131542704000 is an equidigital number, since it uses as much as digits as its factorization.

131542704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 131542704000 its reverse (407245131), we get a palindrome (131949949131).

The spelling of 131542704000 in words is "one hundred thirty-one billion, five hundred forty-two million, seven hundred four thousand".