146368734667272 has 256 divisors, whose sum is σ = 447862663987200. Its totient is φ = 44010156729600.

The previous prime is 146368734667261. The next prime is 146368734667291. The reversal of 146368734667272 is 272766437863641.

146368734667272 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 6 + 8 + 7 + 346 + 6 + 7 + 272 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146368734667272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84531397 + ... + 86245547.

It is an arithmetic number, because the mean of its divisors is an integer number (1749463531200).

Almost surely, 2^{146368734667272} is an apocalyptic number.

146368734667272 is a gapful number since it is divisible by the number (12) 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 146368734667272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223931331993600).

146368734667272 is an abundant number, since it is smaller than the sum of its proper divisors (301493929319928).

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

146368734667272 is a wasteful number, since it uses less digits than its factorization.

146368734667272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714873 (or 1714863 counting only the distinct ones).

The product of its digits is 2048385024, while the sum is 72.

The spelling of 146368734667272 in words is "one hundred forty-six trillion, three hundred sixty-eight billion, seven hundred thirty-four million, six hundred sixty-seven thousand, two hundred seventy-two".