131645348634240 has 2048 divisors, whose sum is σ = 563859394560000. Its totient is φ = 28398141112320.

The previous prime is 131645348634229. The next prime is 131645348634269. The reversal of 131645348634240 is 42436843546131.

131645348634240 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 534 + 8 + 63 + 4 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28674654345 + ... + 28674658935.

It is an arithmetic number, because the mean of its divisors is an integer number (275321970000).

Almost surely, 2^{131645348634240} is an apocalyptic number.

131645348634240 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 131645348634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281929697280000).

131645348634240 is an abundant number, since it is smaller than the sum of its proper divisors (432214045925760).

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

131645348634240 is a wasteful number, since it uses less digits than its factorization.

131645348634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 131645348634240 in words is "one hundred thirty-one trillion, six hundred forty-five billion, three hundred forty-eight million, six hundred thirty-four thousand, two hundred forty".