133468020 has 384 divisors, whose sum is σ = 526417920. Its totient is φ = 27371520.

The previous prime is 133468019. The next prime is 133468021. The reversal of 133468020 is 20864331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133468019) and next prime (133468021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133468021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1992027 + ... + 1992093.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 2^133468020 is an apocalyptic number.

133468020 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 133468020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263208960).

133468020 is an abundant number, since it is smaller than the sum of its proper divisors (392949900).

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

133468020 is a wasteful number, since it uses less digits than its factorization.

133468020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 133468020 is about 11552.8360154553. The cubic root of 133468020 is about 511.0449164782.

The spelling of 133468020 in words is "one hundred thirty-three million, four hundred sixty-eight thousand, twenty".