133853580 has 192 divisors, whose sum is σ = 504161280. Its totient is φ = 28781568.

The previous prime is 133853557. The next prime is 133853609. The reversal of 133853580 is 85358331.

133853580 is a `hidden beast` number, since 13 + 38 + 535 + 80 = 666.

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

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, 63219 + ... + 65301.

It is an arithmetic number, because the mean of its divisors is an integer number (2625840).

Almost surely, 2^133853580 is an apocalyptic number.

133853580 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 133853580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252080640).

133853580 is an abundant number, since it is smaller than the sum of its proper divisors (370307700).

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

133853580 is a wasteful number, since it uses less digits than its factorization.

133853580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 133853580 is about 11569.5107934605. The cubic root of 133853580 is about 511.5365424826.

The spelling of 133853580 in words is "one hundred thirty-three million, eight hundred fifty-three thousand, five hundred eighty".