146524356225 has 135 divisors (see below), whose sum is σ = 286206075519. Its totient is φ = 71657352000.

The previous prime is 146524356193. The next prime is 146524356229. The reversal of 146524356225 is 522653425641.

The square root of 146524356225 is 382785.

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

146524356225 is a `hidden beast` number, since 1 + 4 + 65 + 2 + 4 + 3 + 562 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 143763063921 + 2761292304 = 379161^2 + 52548^2 .

It is not a de Polignac number, because 146524356225 - 2⁵ = 146524356193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (146524356229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 970359900 + ... + 970360050.

Almost surely, 2^146524356225 is an apocalyptic number.

146524356225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146524356225 is the 382785-th square number.

146524356225 is the 191393-rd centered octagonal number.

It is an amenable number.

146524356225 is a deficient number, since it is larger than the sum of its proper divisors (139681719294).

146524356225 is an frugal number, since it uses more digits than its factorization.

146524356225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 172 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 146524356225 in words is "one hundred forty-six billion, five hundred twenty-four million, three hundred fifty-six thousand, two hundred twenty-five".