133014677760 has 216 divisors, whose sum is σ = 460517259384. Its totient is φ = 35447439360.

The previous prime is 133014677759. The next prime is 133014677773. The reversal of 133014677760 is 67776410331.

It can be written as a sum of positive squares in 4 ways, for example, as 80283822336 + 52730855424 = 283344^2 + 229632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24661624 + ... + 24667016.

It is an arithmetic number, because the mean of its divisors is an integer number (2132024349).

Almost surely, 2^133014677760 is an apocalyptic number.

133014677760 is a gapful number since it is divisible by the number (10) 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 133014677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230258629692).

133014677760 is an abundant number, since it is smaller than the sum of its proper divisors (327502581624).

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

133014677760 is a wasteful number, since it uses less digits than its factorization.

133014677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 133014677760 in words is "one hundred thirty-three billion, fourteen million, six hundred seventy-seven thousand, seven hundred sixty".