208164145 has 24 divisors (see below), whose sum is σ = 298460736. Its totient is φ = 136522848.

The previous prime is 208164139. The next prime is 208164157. The reversal of 208164145 is 541461802.

208164145 = 4558² + 4559² + ... + 4567².

It is not a de Polignac number, because 208164145 - 2⁷ = 208164017 is a prime.

It is a super-2 number, since 2×208164145² = 86664622527162050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12894 + ... + 24136.

It is an arithmetic number, because the mean of its divisors is an integer number (12435864).

Almost surely, 2^208164145 is an apocalyptic number.

It is an amenable number.

208164145 is a deficient number, since it is larger than the sum of its proper divisors (90296591).

208164145 is a wasteful number, since it uses less digits than its factorization.

208164145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11301 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 208164145 is about 14427.8946835635. The cubic root of 208164145 is about 592.6550313277.

The spelling of 208164145 in words is "two hundred eight million, one hundred sixty-four thousand, one hundred forty-five".