133846560 has 96 divisors (see below), whose sum is σ = 468478080. Its totient is φ = 35691264.

The previous prime is 133846541. The next prime is 133846567. The reversal of 133846560 is 65648331.

133846560 is a `hidden beast` number, since 13 + 3 + 84 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (133846567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11172 + ... + 19811.

It is an arithmetic number, because the mean of its divisors is an integer number (4879980).

Almost surely, 2^133846560 is an apocalyptic number.

133846560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133846560 is an abundant number, since it is smaller than the sum of its proper divisors (334631520).

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

133846560 is a wasteful number, since it uses less digits than its factorization.

133846560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31007 (or 30993 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 133846560 is about 11569.2074058684. The cubic root of 133846560 is about 511.5275997526.

The spelling of 133846560 in words is "one hundred thirty-three million, eight hundred forty-six thousand, five hundred sixty".