133005315 has 16 divisors (see below), whose sum is σ = 216298656. Its totient is φ = 69772800.

The previous prime is 133005289. The next prime is 133005317. The reversal of 133005315 is 513500331.

It is a happy number.

It is not a de Polignac number, because 133005315 - 2²¹ = 130908163 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133005291 and 133005300.

It is not an unprimeable number, because it can be changed into a prime (133005317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71766 + ... + 73595.

It is an arithmetic number, because the mean of its divisors is an integer number (13518666).

Almost surely, 2^133005315 is an apocalyptic number.

133005315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133005315 is a deficient number, since it is larger than the sum of its proper divisors (83293341).

133005315 is a wasteful number, since it uses less digits than its factorization.

133005315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145430.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 133005315 is about 11532.7930268431. The cubic root of 133005315 is about 510.4536716713.

Adding to 133005315 its reverse (513500331), we get a palindrome (646505646).

The spelling of 133005315 in words is "one hundred thirty-three million, five thousand, three hundred fifteen".