145680194856960 has 3072 divisors, whose sum is σ = 588229292851200. Its totient is φ = 34432934215680.

The previous prime is 145680194856941. The next prime is 145680194856967. The reversal of 145680194856960 is 69658491086541.

145680194856960 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 8 + 0 + 19 + 48 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (145680194856967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1112062556095 + ... + 1112062556225.

It is an arithmetic number, because the mean of its divisors is an integer number (191480889600).

Almost surely, 2^{145680194856960} is an apocalyptic number.

145680194856960 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 145680194856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294114646425600).

145680194856960 is an abundant number, since it is smaller than the sum of its proper divisors (442549097994240).

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

145680194856960 is a wasteful number, since it uses less digits than its factorization.

145680194856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 145680194856960 in words is "one hundred forty-five trillion, six hundred eighty billion, one hundred ninety-four million, eight hundred fifty-six thousand, nine hundred sixty".