146517680205 has 48 divisors (see below), whose sum is σ = 274005806256. Its totient is φ = 71998295040.

The previous prime is 146517680191. The next prime is 146517680261. The reversal of 146517680205 is 502086715641.

It can be written as a sum of positive squares in 8 ways, for example, as 94361796 + 146423318409 = 9714^2 + 382653^2 .

It is not a de Polignac number, because 146517680205 - 2⁴ = 146517680189 is a prime.

It is a super-2 number, since 2×146517680205² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85009 + ... + 547961.

It is an arithmetic number, because the mean of its divisors is an integer number (5708454297).

Almost surely, 2^146517680205 is an apocalyptic number.

146517680205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146517680205 is a deficient number, since it is larger than the sum of its proper divisors (127488126051).

146517680205 is a wasteful number, since it uses less digits than its factorization.

146517680205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463518 (or 463515 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 146517680205 in words is "one hundred forty-six billion, five hundred seventeen million, six hundred eighty thousand, two hundred five".