131451325201504 has 192 divisors, whose sum is σ = 323585681448960. Its totient is φ = 51066944248320.

The previous prime is 131451325201499. The next prime is 131451325201531. The reversal of 131451325201504 is 405102523154131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767185497 + ... + 1767259879.

It is an arithmetic number, because the mean of its divisors is an integer number (1685342090880).

Almost surely, 2^{131451325201504} is an apocalyptic number.

131451325201504 is a gapful number since it is divisible by the number (14) 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 131451325201504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161792840724480).

131451325201504 is an abundant number, since it is smaller than the sum of its proper divisors (192134356247456).

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

131451325201504 is a wasteful number, since it uses less digits than its factorization.

131451325201504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76473 (or 76465 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 131451325201504 its reverse (405102523154131), we get a palindrome (536553848355635).

The spelling of 131451325201504 in words is "one hundred thirty-one trillion, four hundred fifty-one billion, three hundred twenty-five million, two hundred one thousand, five hundred four".