133655760 has 240 divisors, whose sum is σ = 535751424. Its totient is φ = 29196288.

The previous prime is 133655749. The next prime is 133655761. The reversal of 133655760 is 67556331.

It is a happy number.

133655760 is a `hidden beast` number, since 13 + 36 + 557 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133655761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115344 + ... + 116496.

Almost surely, 2^133655760 is an apocalyptic number.

133655760 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 133655760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267875712).

133655760 is an abundant number, since it is smaller than the sum of its proper divisors (402095664).

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

133655760 is a wasteful number, since it uses less digits than its factorization.

133655760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 133655760 is about 11560.9584377767. The cubic root of 133655760 is about 511.2844210978.

The spelling of 133655760 in words is "one hundred thirty-three million, six hundred fifty-five thousand, seven hundred sixty".