133415005152 has 192 divisors, whose sum is σ = 418188234240. Its totient is φ = 36706867200.

The previous prime is 133415005147. The next prime is 133415005189. The reversal of 133415005152 is 251500514331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757749 + ... + 917067.

It is an arithmetic number, because the mean of its divisors is an integer number (2178063720).

Almost surely, 2^133415005152 is an apocalyptic number.

133415005152 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 133415005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209094117120).

133415005152 is an abundant number, since it is smaller than the sum of its proper divisors (284773229088).

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

133415005152 is a wasteful number, since it uses less digits than its factorization.

133415005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159417 (or 159409 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 133415005152 its reverse (251500514331), we get a palindrome (384915519483).

The spelling of 133415005152 in words is "one hundred thirty-three billion, four hundred fifteen million, five thousand, one hundred fifty-two".