146240068536576 has 2187 divisors, whose sum is σ = 538809010819443. Its totient is φ = 39494692177920.

The previous prime is 146240068536571. The next prime is 146240068536587. The reversal of 146240068536576 is 675635860042641.

The square root of 146240068536576 is 12092976.

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

146240068536576 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 4 + 0 + 0 + 6 + 8 + 53 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (2187).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (146240068536571) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3400931826411 + ... + 3400931826453.

Almost surely, 2^{146240068536576} is an apocalyptic number.

146240068536576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146240068536576 is the 12092976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146240068536576

146240068536576 is an abundant number, since it is smaller than the sum of its proper divisors (392568942282867).

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

146240068536576 is an frugal number, since it uses more digits than its factorization.

146240068536576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 146240068536576 in words is "one hundred forty-six trillion, two hundred forty billion, sixty-eight million, five hundred thirty-six thousand, five hundred seventy-six".