146355979225 has 27 divisors (see below), whose sum is σ = 191583360927. Its totient is φ = 110894881680.

The previous prime is 146355979223. The next prime is 146355979279. The reversal of 146355979225 is 522979553641.

It is a happy number.

The square root of 146355979225 is 382565.

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

146355979225 is digitally balanced in base 2, because in such base 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., 52688152521 + 93667826704 = 229539^2 + 306052^2 .

It is not a de Polignac number, because 146355979225 - 2¹ = 146355979223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146355979225.

It is not an unprimeable number, because it can be changed into a prime (146355979223) 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 26 ways as a sum of consecutive naturals, for example, 36341662 + ... + 36345688.

Almost surely, 2^146355979225 is an apocalyptic number.

146355979225 is the 382565-th square number.

146355979225 is the 191283-rd centered octagonal number.

It is an amenable number.

146355979225 is a deficient number, since it is larger than the sum of its proper divisors (45227381702).

146355979225 is an frugal number, since it uses more digits than its factorization.

146355979225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 4051 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 58.

The spelling of 146355979225 in words is "one hundred forty-six billion, three hundred fifty-five million, nine hundred seventy-nine thousand, two hundred twenty-five".