133071376 has 80 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 58978304.

The previous prime is 133071371. The next prime is 133071397. The reversal of 133071376 is 673170331.

It is a super-3 number, since 3×133071376³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133071371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556665 + ... + 556903.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2^133071376 is an apocalyptic number.

133071376 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 133071376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

133071376 is an abundant number, since it is smaller than the sum of its proper divisors (156195824).

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

133071376 is a wasteful number, since it uses less digits than its factorization.

133071376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 133071376 is about 11535.6567216609. The cubic root of 133071376 is about 510.5381682913.

The spelling of 133071376 in words is "one hundred thirty-three million, seventy-one thousand, three hundred seventy-six".