145824201 has 24 divisors (see below), whose sum is σ = 214138080. Its totient is φ = 95613696.

The previous prime is 145824199. The next prime is 145824247. The reversal of 145824201 is 102428541.

145824201 = 1114² + 1115² + ... + 1220².

145824201 is a `hidden beast` number, since 1 + 458 + 2 + 4 + 201 = 666.

It is not a de Polignac number, because 145824201 - 2¹ = 145824199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145824251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156505 + ... + 157433.

It is an arithmetic number, because the mean of its divisors is an integer number (8922420).

Almost surely, 2^145824201 is an apocalyptic number.

It is an amenable number.

145824201 is a deficient number, since it is larger than the sum of its proper divisors (68313879).

145824201 is a wasteful number, since it uses less digits than its factorization.

145824201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145824201 is about 12075.7691680489. The cubic root of 145824201 is about 526.3523123180.

The spelling of 145824201 in words is "one hundred forty-five million, eight hundred twenty-four thousand, two hundred one".