133702380 has 288 divisors, whose sum is σ = 502548480. Its totient is φ = 29393280.

The previous prime is 133702379. The next prime is 133702409. The reversal of 133702380 is 83207331.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 820179 + ... + 820341.

It is an arithmetic number, because the mean of its divisors is an integer number (1744960).

Almost surely, 2^133702380 is an apocalyptic number.

133702380 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 133702380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251274240).

133702380 is an abundant number, since it is smaller than the sum of its proper divisors (368846100).

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

133702380 is a wasteful number, since it uses less digits than its factorization.

133702380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133702380 is about 11562.9745308030. The cubic root of 133702380 is about 511.3438606332.

The spelling of 133702380 in words is "one hundred thirty-three million, seven hundred two thousand, three hundred eighty".