145116375781680 has 240 divisors, whose sum is σ = 506154203343360. Its totient is φ = 37232406323712.

The previous prime is 145116375781679. The next prime is 145116375781687. The reversal of 145116375781680 is 86187573611541.

145116375781680 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 16 + 37 + 578 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (145116375781687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34345042 + ... + 38338161.

It is an arithmetic number, because the mean of its divisors is an integer number (2108975847264).

Almost surely, 2^{145116375781680} is an apocalyptic number.

145116375781680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145116375781680 is an abundant number, since it is smaller than the sum of its proper divisors (361037827561680).

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

145116375781680 is a wasteful number, since it uses less digits than its factorization.

145116375781680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72683328 (or 72683319 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 145116375781680 in words is "one hundred forty-five trillion, one hundred sixteen billion, three hundred seventy-five million, seven hundred eighty-one thousand, six hundred eighty".