146985365972 has 24 divisors (see below), whose sum is σ = 261521920296. Its totient is φ = 72270793728.

The previous prime is 146985365959. The next prime is 146985365981. The reversal of 146985365972 is 279563589641.

146985365972 is digitally balanced in base 3, 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 4 ways, for example, as 17007811396 + 129977554576 = 130414^2 + 360524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146985365899 and 146985365908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648443 + ... + 845250.

It is an arithmetic number, because the mean of its divisors is an integer number (10896746679).

Almost surely, 2^146985365972 is an apocalyptic number.

It is an amenable number.

146985365972 is a deficient number, since it is larger than the sum of its proper divisors (114536554324).

146985365972 is a wasteful number, since it uses less digits than its factorization.

146985365972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494107 (or 1494105 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 65.

The spelling of 146985365972 in words is "one hundred forty-six billion, nine hundred eighty-five million, three hundred sixty-five thousand, nine hundred seventy-two".