133253345146152 has 256 divisors, whose sum is σ = 420365427425280. Its totient is φ = 34193564928000.

The previous prime is 133253345146093. The next prime is 133253345146183. The reversal of 133253345146152 is 251641543352331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84517033 + ... + 86079239.

It is an arithmetic number, because the mean of its divisors is an integer number (1642052450880).

Almost surely, 2^{133253345146152} is an apocalyptic number.

133253345146152 is a gapful number since it is divisible by the number (12) 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 133253345146152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210182713712640).

133253345146152 is an abundant number, since it is smaller than the sum of its proper divisors (287112082279128).

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

133253345146152 is a wasteful number, since it uses less digits than its factorization.

133253345146152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562792 (or 1562788 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 48.

Adding to 133253345146152 its reverse (251641543352331), we get a palindrome (384894888498483).

The spelling of 133253345146152 in words is "one hundred thirty-three trillion, two hundred fifty-three billion, three hundred forty-five million, one hundred forty-six thousand, one hundred fifty-two".