133770340 has 72 divisors (see below), whose sum is σ = 311564736. Its totient is φ = 48206400.

The previous prime is 133770337. The next prime is 133770349. The reversal of 133770340 is 43077331.

It is a junction number, because it is equal to n+sod(n) for n = 133770299 and 133770308.

It is not an unprimeable number, because it can be changed into a prime (133770349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403975 + ... + 404305.

It is an arithmetic number, because the mean of its divisors is an integer number (4327288).

Almost surely, 2^133770340 is an apocalyptic number.

133770340 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 133770340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155782368).

133770340 is an abundant number, since it is smaller than the sum of its proper divisors (177794396).

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

133770340 is a wasteful number, since it uses less digits than its factorization.

133770340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 133770340 is about 11565.9128476744. The cubic root of 133770340 is about 511.4304834805.

The spelling of 133770340 in words is "one hundred thirty-three million, seven hundred seventy thousand, three hundred forty".