131134706352000 has 3840 divisors, whose sum is σ = 572692486766400. Its totient is φ = 29605036032000.

The previous prime is 131134706351947. The next prime is 131134706352011. The reversal of 131134706352000 is 253607431131.

131134706352000 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 4 + 70 + 63 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×131134706352000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 152659727571 + ... + 152659728429.

Almost surely, 2^{131134706352000} is an apocalyptic number.

131134706352000 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 131134706352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286346243383200).

131134706352000 is an abundant number, since it is smaller than the sum of its proper divisors (441557780414400).

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

131134706352000 is a wasteful number, since it uses less digits than its factorization.

131134706352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 131134706352000 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, seven hundred six million, three hundred fifty-two thousand".