135416401 has 16 divisors (see below), whose sum is σ = 149593600. Its totient is φ = 122083200.

The previous prime is 135416389. The next prime is 135416419. The reversal of 135416401 is 104614531.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135416401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135416461) 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, 34045 + ... + 37813.

It is an arithmetic number, because the mean of its divisors is an integer number (9349600).

Almost surely, 2^135416401 is an apocalyptic number.

It is an amenable number.

135416401 is a deficient number, since it is larger than the sum of its proper divisors (14177199).

135416401 is a wasteful number, since it uses less digits than its factorization.

135416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 135416401 is about 11636.8552882641. The cubic root of 135416401 is about 513.5196764964.

The spelling of 135416401 in words is "one hundred thirty-five million, four hundred sixteen thousand, four hundred one".