145057863736009 has 27 divisors (see below), whose sum is σ = 169135855202727. Its totient is φ = 124044882830064.

The previous prime is 145057863736003. The next prime is 145057863736057. The reversal of 145057863736009 is 900637368750541.

The square root of 145057863736009 is 12043997.

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

It can be written as a sum of positive squares in only one way, i.e., 118630326980025 + 26427536755984 = 10891755^2 + 5140772^2 .

It is not a de Polignac number, because 145057863736009 - 2⁷ = 145057863735881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145057863736003) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41057984007 + ... + 41057987539.

Almost surely, 2^{145057863736009} is an apocalyptic number.

145057863736009 is the 12043997-th square number.

145057863736009 is the 6021999-th centered octagonal number.

It is an amenable number.

145057863736009 is a deficient number, since it is larger than the sum of its proper divisors (24077991466718).

145057863736009 is an frugal number, since it uses more digits than its factorization.

145057863736009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 64.

The spelling of 145057863736009 in words is "one hundred forty-five trillion, fifty-seven billion, eight hundred sixty-three million, seven hundred thirty-six thousand, nine".