133562880 has 480 divisors, whose sum is σ = 551536128. Its totient is φ = 29491200.

The previous prime is 133562867. The next prime is 133562887. The reversal of 133562880 is 88265331.

133562880 is a `hidden beast` number, since 13 + 3 + 562 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (133562887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308465 + ... + 4308495.

Almost surely, 2^133562880 is an apocalyptic number.

133562880 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 133562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275768064).

133562880 is an abundant number, since it is smaller than the sum of its proper divisors (417973248).

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

133562880 is a wasteful number, since it uses less digits than its factorization.

133562880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 133562880 is about 11556.9407716748. The cubic root of 133562880 is about 511.1659598073.

The spelling of 133562880 in words is "one hundred thirty-three million, five hundred sixty-two thousand, eight hundred eighty".