133027510770 has 192 divisors, whose sum is σ = 431481323520. Its totient is φ = 27625104000.

The previous prime is 133027510769. The next prime is 133027510771. The reversal of 133027510770 is 77015720331.

133027510770 is a `hidden beast` number, since 133 + 0 + 2 + 7 + 510 + 7 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133027510769) and next prime (133027510771).

It is not an unprimeable number, because it can be changed into a prime (133027510771) 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, 13515511 + ... + 13525349.

It is an arithmetic number, because the mean of its divisors is an integer number (2247298560).

Almost surely, 2^133027510770 is an apocalyptic number.

133027510770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133027510770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215740661760).

133027510770 is an abundant number, since it is smaller than the sum of its proper divisors (298453812750).

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

133027510770 is a wasteful number, since it uses less digits than its factorization.

133027510770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11821 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 133027510770 in words is "one hundred thirty-three billion, twenty-seven million, five hundred ten thousand, seven hundred seventy".