133542420 has 192 divisors, whose sum is σ = 431972352. Its totient is φ = 30528000.

The previous prime is 133542403. The next prime is 133542499. The reversal of 133542420 is 24245331.

It is a congruent number.

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, 1248007 + ... + 1248113.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^133542420 is an apocalyptic number.

133542420 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 133542420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986176).

133542420 is an abundant number, since it is smaller than the sum of its proper divisors (298429932).

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

133542420 is a wasteful number, since it uses less digits than its factorization.

133542420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 133542420 is about 11556.0555554220. The cubic root of 133542420 is about 511.1398572714.

Adding to 133542420 its reverse (24245331), we get a palindrome (157787751).

The spelling of 133542420 in words is "one hundred thirty-three million, five hundred forty-two thousand, four hundred twenty".