133405272 has 256 divisors, whose sum is σ = 498355200. Its totient is φ = 31933440.

The previous prime is 133405243. The next prime is 133405297. The reversal of 133405272 is 272504331.

133405272 is a `hidden beast` number, since 133 + 4 + 0 + 527 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215908 + ... + 216524.

It is an arithmetic number, because the mean of its divisors is an integer number (1946700).

Almost surely, 2^133405272 is an apocalyptic number.

133405272 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 133405272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249177600).

133405272 is an abundant number, since it is smaller than the sum of its proper divisors (364949928).

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

133405272 is a wasteful number, since it uses less digits than its factorization.

133405272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 133405272 is about 11550.1199993766. The cubic root of 133405272 is about 510.9648172079.

The spelling of 133405272 in words is "one hundred thirty-three million, four hundred five thousand, two hundred seventy-two".