131069012754240 has 1008 divisors, whose sum is σ = 536884398033984. Its totient is φ = 29209702072320.

The previous prime is 131069012754217. The next prime is 131069012754241. The reversal of 131069012754240 is 42457210960131.

131069012754240 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 6 + 90 + 12 + 7 + 542 + 4 + 0 = 666.

It is a super-2 number, since 2×131069012754240² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131069012754241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 254481619 + ... + 254996141.

It is an arithmetic number, because the mean of its divisors is an integer number (532623410748).

Almost surely, 2^{131069012754240} is an apocalyptic number.

131069012754240 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 131069012754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268442199016992).

131069012754240 is an abundant number, since it is smaller than the sum of its proper divisors (405815385279744).

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

131069012754240 is a wasteful number, since it uses less digits than its factorization.

131069012754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514628 (or 514604 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 131069012754240 in words is "one hundred thirty-one trillion, sixty-nine billion, twelve million, seven hundred fifty-four thousand, two hundred forty".