133141460130 has 320 divisors, whose sum is σ = 434530863360. Its totient is φ = 28572880896.

The previous prime is 133141460119. The next prime is 133141460147. The reversal of 133141460130 is 31064141331.

133141460130 is a `hidden beast` number, since 1 + 3 + 3 + 14 + 14 + 601 + 30 = 666.

133141460130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 133141460094 and 133141460103.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12168022 + ... + 12178958.

It is an arithmetic number, because the mean of its divisors is an integer number (1357908948).

Almost surely, 2^133141460130 is an apocalyptic number.

133141460130 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 133141460130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217265431680).

133141460130 is an abundant number, since it is smaller than the sum of its proper divisors (301389403230).

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

133141460130 is a wasteful number, since it uses less digits than its factorization.

133141460130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095 (or 11086 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 133141460130 in words is "one hundred thirty-three billion, one hundred forty-one million, four hundred sixty thousand, one hundred thirty".