133493130 has 128 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 33523200.

The previous prime is 133493051. The next prime is 133493131. The reversal of 133493130 is 31394331.

133493130 is a `hidden beast` number, since 1 + 3 + 349 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133493094 and 133493103.

It is not an unprimeable number, because it can be changed into a prime (133493131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342976 + ... + 343364.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^133493130 is an apocalyptic number.

133493130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133493130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

133493130 is an abundant number, since it is smaller than the sum of its proper divisors (243902070).

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

133493130 is a wasteful number, since it uses less digits than its factorization.

133493130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 133493130 is about 11553.9227104910. The cubic root of 133493130 is about 511.0769629394.

The spelling of 133493130 in words is "one hundred thirty-three million, four hundred ninety-three thousand, one hundred thirty".