146124000000 has 1260 divisors, whose sum is σ = 608641115544. Its totient is φ = 34560000000.

The previous prime is 146123999981. The next prime is 146124000049. The reversal of 146124000000 is 421641.

146124000000 is a `hidden beast` number, since 14 + 612 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

146124000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 3563999980 + ... + 3564000020.

Almost surely, 2^146124000000 is an apocalyptic number.

146124000000 is a gapful number since it is divisible by the number (10) 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 146124000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304320557772).

146124000000 is an abundant number, since it is smaller than the sum of its proper divisors (462517115544).

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

146124000000 is an frugal number, since it uses more digits than its factorization.

146124000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 146124000000 its reverse (421641), we get a palindrome (146124421641).

The spelling of 146124000000 in words is "one hundred forty-six billion, one hundred twenty-four million", and thus it is an aban number.