135724400417 has 8 divisors (see below), whose sum is σ = 136353100224. Its totient is φ = 135096554448.

The previous prime is 135724400411. The next prime is 135724400423. The reversal of 135724400417 is 714004427531.

It is an interprime number because it is at equal distance from previous prime (135724400411) and next prime (135724400423).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135724400417 - 2¹² = 135724396321 is a prime.

It is a super-2 number, since 2×135724400417² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135724400411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106298 + ... + 531740.

It is an arithmetic number, because the mean of its divisors is an integer number (17044137528).

Almost surely, 2^135724400417 is an apocalyptic number.

It is an amenable number.

135724400417 is a deficient number, since it is larger than the sum of its proper divisors (628699807).

135724400417 is a wasteful number, since it uses less digits than its factorization.

135724400417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426919.

The product of its (nonzero) digits is 94080, while the sum is 38.

Adding to 135724400417 its reverse (714004427531), we get a palindrome (849728827948).

The spelling of 135724400417 in words is "one hundred thirty-five billion, seven hundred twenty-four million, four hundred thousand, four hundred seventeen".