131945554400 has 288 divisors, whose sum is σ = 375721452288. Its totient is φ = 44714188800.

The previous prime is 131945554379. The next prime is 131945554409. The reversal of 131945554400 is 4455549131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131945554409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15404519 + ... + 15413081.

It is an arithmetic number, because the mean of its divisors is an integer number (1304588376).

Almost surely, 2^131945554400 is an apocalyptic number.

131945554400 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 131945554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187860726144).

131945554400 is an abundant number, since it is smaller than the sum of its proper divisors (243775897888).

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

131945554400 is a wasteful number, since it uses less digits than its factorization.

131945554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 131945554400 in words is "one hundred thirty-one billion, nine hundred forty-five million, five hundred fifty-four thousand, four hundred".