146033334144 has 96 divisors (see below), whose sum is σ = 420614227800. Its totient is φ = 48632822784.

The previous prime is 146033334113. The next prime is 146033334151. The reversal of 146033334144 is 441433330641.

146033334144 is a `hidden beast` number, since 1 + 4 + 603 + 3 + 3 + 3 + 4 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146033334099 and 146033334108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201147 + ... + 1317125.

Almost surely, 2^146033334144 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 146033334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210307113900).

146033334144 is an abundant number, since it is smaller than the sum of its proper divisors (274580893656).

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

146033334144 is a wasteful number, since it uses less digits than its factorization.

146033334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117092 (or 117077 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 146033334144 its reverse (441433330641), we get a palindrome (587466664785).

The spelling of 146033334144 in words is "one hundred forty-six billion, thirty-three million, three hundred thirty-four thousand, one hundred forty-four".