131903219036160 has 2496 divisors, whose sum is σ = 570890957285376. Its totient is φ = 27675485798400.

The previous prime is 131903219036119. The next prime is 131903219036213. The reversal of 131903219036160 is 61630912309131.

131903219036160 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 0 + 3 + 21 + 9 + 0 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193123307179 + ... + 193123307861.

It is an arithmetic number, because the mean of its divisors is an integer number (228722338656).

Almost surely, 2^{131903219036160} is an apocalyptic number.

131903219036160 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 131903219036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285445478642688).

131903219036160 is an abundant number, since it is smaller than the sum of its proper divisors (438987738249216).

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

131903219036160 is a wasteful number, since it uses less digits than its factorization.

131903219036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 131903219036160 in words is "one hundred thirty-one trillion, nine hundred three billion, two hundred nineteen million, thirty-six thousand, one hundred sixty".