145617033604 has 81 divisors (see below), whose sum is σ = 300591917199. Its totient is φ = 61544125440.

The previous prime is 145617033571. The next prime is 145617033607. The reversal of 145617033604 is 406330716541.

The square root of 145617033604 is 381598.

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

145617033604 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 4 ways, for example, as 2394144900 + 143222888704 = 48930^2 + 378448^2 .

It is not an unprimeable number, because it can be changed into a prime (145617033607) 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, 518209944 + ... + 518210224.

Almost surely, 2^145617033604 is an apocalyptic number.

145617033604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

145617033604 is the 381598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145617033604

145617033604 is an abundant number, since it is smaller than the sum of its proper divisors (154974883595).

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

145617033604 is an frugal number, since it uses more digits than its factorization.

145617033604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 145617033604 in words is "one hundred forty-five billion, six hundred seventeen million, thirty-three thousand, six hundred four".