145338335253225 has 405 divisors, whose sum is σ = 290025610010643. Its totient is φ = 72245852087040.

The previous prime is 145338335253217. The next prime is 145338335253257. The reversal of 145338335253225 is 522352533833541.

The square root of 145338335253225 is 12055635.

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

145338335253225 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 3 + 8 + 33 + 52 + 532 + 25 = 666.

145338335253225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 15837303711321 + 129501031541904 = 3979611^2 + 11379852^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 145338335253225 - 2³ = 145338335253217 is a prime.

It is a super-2 number, since 2×145338335253225² (a number of 29 digits) contains 22 as substring.

Its product of digits (38880000) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1411051798524 + ... + 1411051798626.

Almost surely, 2^{145338335253225} is an apocalyptic number.

145338335253225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145338335253225 is the 12055635-th square number.

145338335253225 is the 6027818-th centered octagonal number.

It is an amenable number.

145338335253225 is a deficient number, since it is larger than the sum of its proper divisors (144687274757418).

145338335253225 is an frugal number, since it uses more digits than its factorization.

145338335253225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 128 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 54.

The spelling of 145338335253225 in words is "one hundred forty-five trillion, three hundred thirty-eight billion, three hundred thirty-five million, two hundred fifty-three thousand, two hundred twenty-five".