146133720576747 has 16 divisors (see below), whose sum is σ = 216497438945280. Its totient is φ = 97421113243656.

The previous prime is 146133720576671. The next prime is 146133720576769. The reversal of 146133720576747 is 747675027331641.

146133720576747 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 3 + 37 + 20 + 576 + 7 + 4 + 7 = 666.

It is not a de Polignac number, because 146133720576747 - 2²⁸ = 146133452141291 is a prime.

It is a super-3 number, since 3×146133720576747³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (146133720576787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36014643 + ... + 39866300.

It is an arithmetic number, because the mean of its divisors is an integer number (13531089934080).

Almost surely, 2^{146133720576747} is an apocalyptic number.

146133720576747 is a deficient number, since it is larger than the sum of its proper divisors (70363718368533).

146133720576747 is an equidigital number, since it uses as much as digits as its factorization.

146133720576747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75952279 (or 75952273 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 146133720576747 in words is "one hundred forty-six trillion, one hundred thirty-three billion, seven hundred twenty million, five hundred seventy-six thousand, seven hundred forty-seven".