146732497195761 has 81 divisors (see below), whose sum is σ = 221583438905283. Its totient is φ = 93565214087040.

The previous prime is 146732497195733. The next prime is 146732497195811. The reversal of 146732497195761 is 167591794237641.

The square root of 146732497195761 is 12113319.

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

146732497195761 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 3 + 2 + 49 + 7 + 1 + 9 + 576 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 20793736800225 + 125938760395536 = 4560015^2 + 11222244^2 .

It is not a de Polignac number, because 146732497195761 - 2¹³ = 146732497187569 is a prime.

Its product of digits (480090240) is a multiple of the sum of its prime divisors (1890).

It is a self number, because there is not a number n which added to its sum of digits gives 146732497195761.

It is not an unprimeable number, because it can be changed into a prime (146732497195261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 82019282055 + ... + 82019283843.

Almost surely, 2^{146732497195761} is an apocalyptic number.

146732497195761 is the 12113319-th square number.

146732497195761 is the 6056660-th centered octagonal number.

It is an amenable number.

146732497195761 is a deficient number, since it is larger than the sum of its proper divisors (74850941709522).

146732497195761 is an frugal number, since it uses more digits than its factorization.

146732497195761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 1890 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 146732497195761 in words is "one hundred forty-six trillion, seven hundred thirty-two billion, four hundred ninety-seven million, one hundred ninety-five thousand, seven hundred sixty-one".