146393522802 has 90 divisors (see below), whose sum is σ = 343174762623. Its totient is φ = 46640483208.

The previous prime is 146393522753. The next prime is 146393522809. The reversal of 146393522802 is 208225393641.

146393522802 is a `hidden beast` number, since 1 + 4 + 639 + 3 + 5 + 2 + 2 + 8 + 0 + 2 = 666.

146393522802 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 73196761401 + 73196761401 = 270549^2 + 270549^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=270549.

It is not an unprimeable number, because it can be changed into a prime (146393522809) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 112006633 + ... + 112007939.

Almost surely, 2^146393522802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146393522802

146393522802 is an abundant number, since it is smaller than the sum of its proper divisors (196781239821).

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

146393522802 is an frugal number, since it uses more digits than its factorization.

146393522802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 146393522802 in words is "one hundred forty-six billion, three hundred ninety-three million, five hundred twenty-two thousand, eight hundred two".