2146133293920 has 576 divisors, whose sum is σ = 9139171991040. Its totient is φ = 445541990400.

The previous prime is 2146133293877. The next prime is 2146133293939. The reversal of 2146133293920 is 293923316412.

2146133293920 is a `hidden beast` number, since 2 + 1 + 4 + 613 + 3 + 2 + 9 + 3 + 9 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129832216 + ... + 129848744.

It is an arithmetic number, because the mean of its divisors is an integer number (15866618040).

Almost surely, 2^{2146133293920} is an apocalyptic number.

2146133293920 is a gapful number since it is divisible by the number (20) 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 2146133293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569585995520).

2146133293920 is an abundant number, since it is smaller than the sum of its proper divisors (6993038697120).

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

2146133293920 is a wasteful number, since it uses less digits than its factorization.

2146133293920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17739 (or 17728 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 2146133293920 in words is "two trillion, one hundred forty-six billion, one hundred thirty-three million, two hundred ninety-three thousand, nine hundred twenty".