146991684042 has 128 divisors (see below), whose sum is σ = 377632980480. Its totient is φ = 41512642560.

The previous prime is 146991684013. The next prime is 146991684043. The reversal of 146991684042 is 240486199641.

146991684042 is a `hidden beast` number, since 14 + 69 + 9 + 168 + 404 + 2 = 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 146991684042.

It is not an unprimeable number, because it can be changed into a prime (146991684043) 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 63 ways as a sum of consecutive naturals, for example, 36553992 + ... + 36558012.

It is an arithmetic number, because the mean of its divisors is an integer number (2950257660).

Almost surely, 2^146991684042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146991684042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188816490240).

146991684042 is an abundant number, since it is smaller than the sum of its proper divisors (230641296438).

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

146991684042 is a wasteful number, since it uses less digits than its factorization.

146991684042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 146991684042 in words is "one hundred forty-six billion, nine hundred ninety-one million, six hundred eighty-four thousand, forty-two".