146809272960 has 1280 divisors, whose sum is σ = 639809280000. Its totient is φ = 31334916096.

The previous prime is 146809272959. The next prime is 146809273001. The reversal of 146809272960 is 69272908641.

146809272960 is a `hidden beast` number, since 1 + 468 + 0 + 92 + 7 + 2 + 96 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 146809272897 and 146809272906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 737734941 + ... + 737735139.

It is an arithmetic number, because the mean of its divisors is an integer number (499851000).

Almost surely, 2^146809272960 is an apocalyptic number.

146809272960 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 146809272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319904640000).

146809272960 is an abundant number, since it is smaller than the sum of its proper divisors (493000007040).

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

146809272960 is a wasteful number, since it uses less digits than its factorization.

146809272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 146809272960 in words is "one hundred forty-six billion, eight hundred nine million, two hundred seventy-two thousand, nine hundred sixty".