133144017346536 has 256 divisors, whose sum is σ = 405783257088000. Its totient is φ = 35558104308480.

The previous prime is 133144017346523. The next prime is 133144017346547. The reversal of 133144017346536 is 635643710441331.

133144017346536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133144017346536² (a number of 29 digits) contains 22 as substring.

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, 364704651 + ... + 365069541.

It is an arithmetic number, because the mean of its divisors is an integer number (1585090848000).

Almost surely, 2^{133144017346536} 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 133144017346536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202891628544000).

133144017346536 is an abundant number, since it is smaller than the sum of its proper divisors (272639239741464).

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

133144017346536 is a wasteful number, since it uses less digits than its factorization.

133144017346536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366452 (or 366448 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

Adding to 133144017346536 its reverse (635643710441331), we get a palindrome (768787727787867).

The spelling of 133144017346536 in words is "one hundred thirty-three trillion, one hundred forty-four billion, seventeen million, three hundred forty-six thousand, five hundred thirty-six".