133003454645152 has 432 divisors, whose sum is σ = 333049151661912. Its totient is φ = 52105898557440.

The previous prime is 133003454644987. The next prime is 133003454645153. The reversal of 133003454645152 is 251546454300331.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10064904976 + 132993389740176 = 100324^2 + 11532276^2 .

It is not an unprimeable number, because it can be changed into a prime (133003454645153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15719586202 + ... + 15719594662.

Almost surely, 2^{133003454645152} 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 133003454645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166524575830956).

133003454645152 is an abundant number, since it is smaller than the sum of its proper divisors (200045697016760).

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

133003454645152 is a wasteful number, since it uses less digits than its factorization.

133003454645152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 133003454645152 in words is "one hundred thirty-three trillion, three billion, four hundred fifty-four million, six hundred forty-five thousand, one hundred fifty-two".