133477072 has 40 divisors (see below), whose sum is σ = 267998720. Its totient is φ = 64333440.

The previous prime is 133477067. The next prime is 133477087. The reversal of 133477072 is 270774331.

It is a super-2 number, since 2×133477072² = 35632257499386368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217438 + ... + 218050.

It is an arithmetic number, because the mean of its divisors is an integer number (6699968).

Almost surely, 2^133477072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133477072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133999360).

133477072 is an abundant number, since it is smaller than the sum of its proper divisors (134521648).

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

133477072 is a wasteful number, since it uses less digits than its factorization.

133477072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 133477072 is about 11553.2277740898. The cubic root of 133477072 is about 511.0564694929.

The spelling of 133477072 in words is "one hundred thirty-three million, four hundred seventy-seven thousand, seventy-two".