133672960 has 104 divisors (see below), whose sum is σ = 329081616. Its totient is φ = 52101120.

The previous prime is 133672951. The next prime is 133672969. The reversal of 133672960 is 69276331.

It is an interprime number because it is at equal distance from previous prime (133672951) and next prime (133672969).

It is not an unprimeable number, because it can be changed into a prime (133672969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249227 + ... + 1249333.

Almost surely, 2^133672960 is an apocalyptic number.

133672960 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 133672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164540808).

133672960 is an abundant number, since it is smaller than the sum of its proper divisors (195408656).

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

133672960 is an equidigital number, since it uses as much as digits as its factorization.

133672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 133672960 is about 11561.7022968073. The cubic root of 133672960 is about 511.3063523507.

The spelling of 133672960 in words is "one hundred thirty-three million, six hundred seventy-two thousand, nine hundred sixty".