131141474150400 has 2304 divisors, whose sum is σ = 563766441638400. Its totient is φ = 29259988992000.

The previous prime is 131141474150389. The next prime is 131141474150417. The reversal of 131141474150400 is 4051474141131.

131141474150400 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 147 + 4 + 1 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123601765870 + ... + 123601766930.

It is an arithmetic number, because the mean of its divisors is an integer number (244690295850).

Almost surely, 2^{131141474150400} is an apocalyptic number.

131141474150400 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 131141474150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281883220819200).

131141474150400 is an abundant number, since it is smaller than the sum of its proper divisors (432624967488000).

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

131141474150400 is a wasteful number, since it uses less digits than its factorization.

131141474150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 131141474150400 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred seventy-four million, one hundred fifty thousand, four hundred".