135714456 has 24 divisors (see below), whose sum is σ = 367560180. Its totient is φ = 45238128.

The previous prime is 135714431. The next prime is 135714479. The reversal of 135714456 is 654417531.

135714456 is a `hidden beast` number, since 135 + 71 + 4 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×135714456³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135714456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 942390 + ... + 942533.

Almost surely, 2^135714456 is an apocalyptic number.

It is an amenable number.

135714456 is an abundant number, since it is smaller than the sum of its proper divisors (231845724).

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

135714456 is a wasteful number, since it uses less digits than its factorization.

135714456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884935 (or 1884928 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 135714456 is about 11649.6547588330. The cubic root of 135714456 is about 513.8961571121.

The spelling of 135714456 in words is "one hundred thirty-five million, seven hundred fourteen thousand, four hundred fifty-six".