133014420 has 288 divisors, whose sum is σ = 526296960. Its totient is φ = 27578880.

The previous prime is 133014419. The next prime is 133014439. The reversal of 133014420 is 24410331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133014393 and 133014402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290832 + ... + 291288.

It is an arithmetic number, because the mean of its divisors is an integer number (1827420).

Almost surely, 2^133014420 is an apocalyptic number.

133014420 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 133014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263148480).

133014420 is an abundant number, since it is smaller than the sum of its proper divisors (393282540).

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

133014420 is a wasteful number, since it uses less digits than its factorization.

133014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 133014420 is about 11533.1877640139. The cubic root of 133014420 is about 510.4653192625.

Adding to 133014420 its reverse (24410331), we get a palindrome (157424751).

The spelling of 133014420 in words is "one hundred thirty-three million, fourteen thousand, four hundred twenty".