133721280 has 560 divisors, whose sum is σ = 601894656. Its totient is φ = 27371520.

The previous prime is 133721267. The next prime is 133721299. The reversal of 133721280 is 82127331.

133721280 is a `hidden beast` number, since 13 + 372 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 1995807 + ... + 1995873.

Almost surely, 2^133721280 is an apocalyptic number.

133721280 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 133721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300947328).

133721280 is an abundant number, since it is smaller than the sum of its proper divisors (468173376).

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

133721280 is a wasteful number, since it uses less digits than its factorization.

133721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 133721280 is about 11563.7917656796. The cubic root of 133721280 is about 511.3679538060.

The spelling of 133721280 in words is "one hundred thirty-three million, seven hundred twenty-one thousand, two hundred eighty".