133142243652 has 288 divisors, whose sum is σ = 395824665600. Its totient is φ = 37307692800.

The previous prime is 133142243599. The next prime is 133142243659. The reversal of 133142243652 is 256342241331.

133142243652 is a `hidden beast` number, since 1 + 33 + 142 + 2 + 436 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133142243659) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 63794953 + ... + 63797039.

It is an arithmetic number, because the mean of its divisors is an integer number (1374391200).

Almost surely, 2^133142243652 is an apocalyptic number.

133142243652 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 133142243652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197912332800).

133142243652 is an abundant number, since it is smaller than the sum of its proper divisors (262682421948).

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

133142243652 is a wasteful number, since it uses less digits than its factorization.

133142243652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2322 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 133142243652 its reverse (256342241331), we get a palindrome (389484484983).

The spelling of 133142243652 in words is "one hundred thirty-three billion, one hundred forty-two million, two hundred forty-three thousand, six hundred fifty-two".