133288480 has 48 divisors (see below), whose sum is σ = 339121944. Its totient is φ = 49213440.

The previous prime is 133288459. The next prime is 133288501. The reversal of 133288480 is 84882331.

It is an interprime number because it is at equal distance from previous prime (133288459) and next prime (133288501).

It can be written as a sum of positive squares in 4 ways, for example, as 72386064 + 60902416 = 8508^2 + 7804^2 .

It is a congruent number.

It is an unprimeable number.

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, 29961 + ... + 34120.

Almost surely, 2^133288480 is an apocalyptic number.

133288480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133288480 is an abundant number, since it is smaller than the sum of its proper divisors (205833464).

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

133288480 is a wasteful number, since it uses less digits than its factorization.

133288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64109 (or 64101 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 133288480 is about 11545.0630141199. The cubic root of 133288480 is about 510.8156626168.

The spelling of 133288480 in words is "one hundred thirty-three million, two hundred eighty-eight thousand, four hundred eighty".