146740188384 has 336 divisors, whose sum is σ = 462600270720. Its totient is φ = 45696752640.

The previous prime is 146740188373. The next prime is 146740188433. The reversal of 146740188384 is 483881047641.

146740188384 is a `hidden beast` number, since 1 + 46 + 7 + 40 + 188 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 146740188384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20968374 + ... + 20975370.

It is an arithmetic number, because the mean of its divisors is an integer number (1376786520).

Almost surely, 2^146740188384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146740188384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231300135360).

146740188384 is an abundant number, since it is smaller than the sum of its proper divisors (315860082336).

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

146740188384 is an equidigital number, since it uses as much as digits as its factorization.

146740188384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 146740188384 in words is "one hundred forty-six billion, seven hundred forty million, one hundred eighty-eight thousand, three hundred eighty-four".