146623131396 has 189 divisors, whose sum is σ = 447961696581. Its totient is φ = 41850968544.

The previous prime is 146623131383. The next prime is 146623131401. The reversal of 146623131396 is 693131326641.

It is a happy number.

The square root of 146623131396 is 382914.

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

146623131396 is a `hidden beast` number, since 1 + 4 + 6 + 623 + 1 + 3 + 13 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 289340100 + 146333791296 = 17010^2 + 382536^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 144740986 + ... + 144741998.

Almost surely, 2^146623131396 is an apocalyptic number.

146623131396 is the 382914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146623131396

146623131396 is an abundant number, since it is smaller than the sum of its proper divisors (301338565185).

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

146623131396 is an frugal number, since it uses more digits than its factorization.

146623131396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 1025 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 146623131396 in words is "one hundred forty-six billion, six hundred twenty-three million, one hundred thirty-one thousand, three hundred ninety-six".