146307015001 has 27 divisors (see below), whose sum is σ = 173634081663. Its totient is φ = 122920521360.

The previous prime is 146307014989. The next prime is 146307015059. The reversal of 146307015001 is 100510703641.

The square root of 146307015001 is 382501.

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., 105472305225 + 40834709776 = 324765^2 + 202076^2 .

It is not a de Polignac number, because 146307015001 - 2⁷ = 146307014873 is a prime.

It is a super-3 number, since 3×146307015001³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (146307015401) 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, 141907356 + ... + 141908386.

Almost surely, 2^146307015001 is an apocalyptic number.

146307015001 is the 382501-st square number.

146307015001 is the 191251-st centered octagonal number.

It is an amenable number.

146307015001 is a deficient number, since it is larger than the sum of its proper divisors (27327066662).

146307015001 is an frugal number, since it uses more digits than its factorization.

146307015001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 146307015001 its reverse (100510703641), we get a palindrome (246817718642).

The spelling of 146307015001 in words is "one hundred forty-six billion, three hundred seven million, fifteen thousand, one".