133001462048 has 144 divisors (see below), whose sum is σ = 339340450680. Its totient is φ = 50801393664.

The previous prime is 133001462039. The next prime is 133001462081. The reversal of 133001462048 is 840264100331.

It can be written as a sum of positive squares in 4 ways, for example, as 122676463504 + 10324998544 = 350252^2 + 101612^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478640 + ... + 703632.

Almost surely, 2^133001462048 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 133001462048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169670225340).

133001462048 is an abundant number, since it is smaller than the sum of its proper divisors (206338988632).

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

133001462048 is a wasteful number, since it uses less digits than its factorization.

133001462048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225059 (or 225044 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 133001462048 its reverse (840264100331), we get a palindrome (973265562379).

The spelling of 133001462048 in words is "one hundred thirty-three billion, one million, four hundred sixty-two thousand, forty-eight".