535021131143136 has 192 divisors, whose sum is σ = 1541590146512640. Its totient is φ = 161124108042240.

The previous prime is 535021131143123. The next prime is 535021131143141. The reversal of 535021131143136 is 631341131120535.

It is a super-2 number, since 2×535021131143136² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 535021131143094 and 535021131143103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3561769600 + ... + 3561919808.

It is an arithmetic number, because the mean of its divisors is an integer number (8029115346420).

Almost surely, 2^{535021131143136} 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 535021131143136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770795073256320).

535021131143136 is an abundant number, since it is smaller than the sum of its proper divisors (1006569015369504).

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

535021131143136 is a wasteful number, since it uses less digits than its factorization.

535021131143136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171089 (or 171081 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 535021131143136 in words is "five hundred thirty-five trillion, twenty-one billion, one hundred thirty-one million, one hundred forty-three thousand, one hundred thirty-six".