133407820 has 96 divisors (see below), whose sum is σ = 359912448. Its totient is φ = 40372992.

The previous prime is 133407817. The next prime is 133407821. The reversal of 133407820 is 28704331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (133407821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40267 + ... + 43453.

It is an arithmetic number, because the mean of its divisors is an integer number (3749088).

Almost surely, 2^133407820 is an apocalyptic number.

133407820 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 133407820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179956224).

133407820 is an abundant number, since it is smaller than the sum of its proper divisors (226504628).

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

133407820 is a wasteful number, since it uses less digits than its factorization.

133407820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 133407820 is about 11550.2303007343. The cubic root of 133407820 is about 510.9680702779.

The spelling of 133407820 in words is "one hundred thirty-three million, four hundred seven thousand, eight hundred twenty".