131780160038916 has 135 divisors (see below), whose sum is σ = 345368538714199. Its totient is φ = 43816171907952.

The previous prime is 131780160038909. The next prime is 131780160038959. The reversal of 131780160038916 is 619830061087131.

The square root of 131780160038916 is 11479554.

It is a perfect power (a square), and thus also a powerful number.

131780160038916 is a `hidden beast` number, since 1 + 3 + 17 + 8 + 0 + 1 + 600 + 3 + 8 + 9 + 16 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 148568387425 + ... + 148568388311.

Almost surely, 2^{131780160038916} is an apocalyptic number.

131780160038916 is the 11479554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131780160038916

131780160038916 is an abundant number, since it is smaller than the sum of its proper divisors (213588378675283).

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

131780160038916 is an frugal number, since it uses more digits than its factorization.

131780160038916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 131780160038916 in words is "one hundred thirty-one trillion, seven hundred eighty billion, one hundred sixty million, thirty-eight thousand, nine hundred sixteen".