133514634000 has 640 divisors, whose sum is σ = 523457925120. Its totient is φ = 28855296000.

The previous prime is 133514633999. The next prime is 133514634007. The reversal of 133514634000 is 436415331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133514634007) 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 127 ways as a sum of consecutive naturals, for example, 21314869 + ... + 21321131.

It is an arithmetic number, because the mean of its divisors is an integer number (817903008).

Almost surely, 2^133514634000 is an apocalyptic number.

133514634000 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 133514634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261728962560).

133514634000 is an abundant number, since it is smaller than the sum of its proper divisors (389943291120).

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

133514634000 is a wasteful number, since it uses less digits than its factorization.

133514634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 133514634000 in words is "one hundred thirty-three billion, five hundred fourteen million, six hundred thirty-four thousand".