146937684852 has 240 divisors, whose sum is σ = 451897944960. Its totient is φ = 40758681600.

The previous prime is 146937684841. The next prime is 146937684857. The reversal of 146937684852 is 258486739641.

146937684852 is a `hidden beast` number, since 1 + 4 + 6 + 93 + 7 + 68 + 485 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 146937684852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146937684857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19616724 + ... + 19624212.

It is an arithmetic number, because the mean of its divisors is an integer number (1882908104).

Almost surely, 2^146937684852 is an apocalyptic number.

146937684852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146937684852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225948972480).

146937684852 is an abundant number, since it is smaller than the sum of its proper divisors (304960260108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146937684852 is a wasteful number, since it uses less digits than its factorization.

146937684852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7753 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 146937684852 in words is "one hundred forty-six billion, nine hundred thirty-seven million, six hundred eighty-four thousand, eight hundred fifty-two".