146920689128880 has 120 divisors (see below), whose sum is σ = 493428181231440. Its totient is φ = 39177299381760.

The previous prime is 146920689128861. The next prime is 146920689128921. The reversal of 146920689128880 is 88821986029641.

146920689128880 is a `hidden beast` number, since 1 + 4 + 69 + 206 + 8 + 9 + 1 + 288 + 80 = 666.

146920689128880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 146920689128799 and 146920689128808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14217550 + ... + 22270610.

It is an arithmetic number, because the mean of its divisors is an integer number (4111901510262).

Almost surely, 2^{146920689128880} is an apocalyptic number.

146920689128880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146920689128880 is an abundant number, since it is smaller than the sum of its proper divisors (346507492102560).

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

146920689128880 is a wasteful number, since it uses less digits than its factorization.

146920689128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078419 (or 8078410 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 146920689128880 in words is "one hundred forty-six trillion, nine hundred twenty billion, six hundred eighty-nine million, one hundred twenty-eight thousand, eight hundred eighty".