133414007 has 16 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 122241504.

The previous prime is 133413979. The next prime is 133414009. The reversal of 133414007 is 700414331.

It is not a de Polignac number, because 133414007 - 2¹² = 133409911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133414009) 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, 91994 + ... + 93432.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^133414007 is an apocalyptic number.

133414007 is a deficient number, since it is larger than the sum of its proper divisors (11737993).

133414007 is a wasteful number, since it uses less digits than its factorization.

133414007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 133414007 is about 11550.4981277865. The cubic root of 133414007 is about 510.9759691417.

Adding to 133414007 its reverse (700414331), we get a palindrome (833828338).

The spelling of 133414007 in words is "one hundred thirty-three million, four hundred fourteen thousand, seven".