133526025542052 has 288 divisors, whose sum is σ = 401947003261440. Its totient is φ = 36842624640000.

The previous prime is 133526025541969. The next prime is 133526025542057. The reversal of 133526025542052 is 250245520625331.

133526025542052 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 26 + 0 + 2 + 554 + 20 + 52 = 666.

133526025542052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133526025541989 and 133526025542007.

It is not an unprimeable number, because it can be changed into a prime (133526025542057) 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, 139388677 + ... + 140343347.

It is an arithmetic number, because the mean of its divisors is an integer number (1395649316880).

Almost surely, 2^{133526025542052} is an apocalyptic number.

133526025542052 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 133526025542052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200973501630720).

133526025542052 is an abundant number, since it is smaller than the sum of its proper divisors (268420977719388).

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

133526025542052 is a wasteful number, since it uses less digits than its factorization.

133526025542052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955075 (or 955070 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 133526025542052 in words is "one hundred thirty-three trillion, five hundred twenty-six billion, twenty-five million, five hundred forty-two thousand, fifty-two".