145199917161 has 36 divisors (see below), whose sum is σ = 227049709068. Its totient is φ = 88888154112.

The previous prime is 145199917123. The next prime is 145199917169. The reversal of 145199917161 is 161719991541.

145199917161 is a `hidden beast` number, since 1 + 451 + 99 + 91 + 7 + 16 + 1 = 666.

145199917161 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 6 ways, for example, as 41487579225 + 103712337936 = 203685^2 + 322044^2 .

It is not a de Polignac number, because 145199917161 - 2²² = 145195722857 is a prime.

It is a super-2 number, since 2×145199917161² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145199917098 and 145199917107.

It is not an unprimeable number, because it can be changed into a prime (145199917169) 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 35 ways as a sum of consecutive naturals, for example, 4341475 + ... + 4374791.

It is an arithmetic number, because the mean of its divisors is an integer number (6306936363).

Almost surely, 2^145199917161 is an apocalyptic number.

It is an amenable number.

145199917161 is a deficient number, since it is larger than the sum of its proper divisors (81849791907).

145199917161 is a wasteful number, since it uses less digits than its factorization.

145199917161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33722 (or 33526 counting only the distinct ones).

The product of its digits is 612360, while the sum is 54.

The spelling of 145199917161 in words is "one hundred forty-five billion, one hundred ninety-nine million, nine hundred seventeen thousand, one hundred sixty-one".