146074876788736 has 675 divisors, whose sum is σ = 356916500773637. Its totient is φ = 59777101332480.

The previous prime is 146074876788719. The next prime is 146074876788793. The reversal of 146074876788736 is 637887678470641.

The square root of 146074876788736 is 12086144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7038706139136 + 139036170649600 = 2653056^2 + 11791360^2 .

It is a Harshad number since it is a multiple of its sum of digits (82).

It is a self number, because there is not a number n which added to its sum of digits gives 146074876788736.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3107976101865 + ... + 3107976101911.

Almost surely, 2^{146074876788736} is an apocalyptic number.

146074876788736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146074876788736 is the 12086144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146074876788736

146074876788736 is an abundant number, since it is smaller than the sum of its proper divisors (210841623984901).

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

146074876788736 is an frugal number, since it uses more digits than its factorization.

146074876788736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12745506816, while the sum is 82.

The spelling of 146074876788736 in words is "one hundred forty-six trillion, seventy-four billion, eight hundred seventy-six million, seven hundred eighty-eight thousand, seven hundred thirty-six".