133807620 has 96 divisors (see below), whose sum is σ = 384467328. Its totient is φ = 34762752.

The previous prime is 133807601. The next prime is 133807627. The reversal of 133807620 is 26708331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133807627) 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, 482922 + ... + 483198.

It is an arithmetic number, because the mean of its divisors is an integer number (4004868).

Almost surely, 2^133807620 is an apocalyptic number.

133807620 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 133807620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192233664).

133807620 is an abundant number, since it is smaller than the sum of its proper divisors (250659708).

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

133807620 is a wasteful number, since it uses less digits than its factorization.

133807620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 133807620 is about 11567.5243678153. The cubic root of 133807620 is about 511.4779886737.

The spelling of 133807620 in words is "one hundred thirty-three million, eight hundred seven thousand, six hundred twenty".