133255236576 has 1152 divisors, whose sum is σ = 505032192000. Its totient is φ = 30400634880.

The previous prime is 133255236571. The next prime is 133255236581. The reversal of 133255236576 is 675632552331.

It is an interprime number because it is at equal distance from previous prime (133255236571) and next prime (133255236581).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (3402000) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133255236571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1988884095 + ... + 1988884161.

It is an arithmetic number, because the mean of its divisors is an integer number (438396000).

Almost surely, 2^133255236576 is an apocalyptic number.

133255236576 is a gapful number since it is divisible by the number (16) 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 133255236576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252516096000).

133255236576 is an abundant number, since it is smaller than the sum of its proper divisors (371776955424).

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

133255236576 is a wasteful number, since it uses less digits than its factorization.

133255236576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 48.

The spelling of 133255236576 in words is "one hundred thirty-three billion, two hundred fifty-five million, two hundred thirty-six thousand, five hundred seventy-six".