131405535144000 has 896 divisors, whose sum is σ = 519367896552960. Its totient is φ = 32335386624000.

The previous prime is 131405535143999. The next prime is 131405535144001. The reversal of 131405535144000 is 441535504131.

131405535144000 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 553 + 51 + 4 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131405535143999) and next prime (131405535144001).

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

It is not an unprimeable number, because it can be changed into a prime (131405535144001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11824482444 + ... + 11824493556.

It is an arithmetic number, because the mean of its divisors is an integer number (579651670260).

Almost surely, 2^{131405535144000} is an apocalyptic number.

131405535144000 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 131405535144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259683948276480).

131405535144000 is an abundant number, since it is smaller than the sum of its proper divisors (387962361408960).

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

131405535144000 is a wasteful number, since it uses less digits than its factorization.

131405535144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15373 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 131405535144000 in words is "one hundred thirty-one trillion, four hundred five billion, five hundred thirty-five million, one hundred forty-four thousand".