135457680 has 40 divisors (see below), whose sum is σ = 419919552. Its totient is φ = 36121984.

The previous prime is 135457657. The next prime is 135457711. The reversal of 135457680 is 86754531.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281964 + ... + 282443.

Almost surely, 2^135457680 is an apocalyptic number.

135457680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135457680 is an abundant number, since it is smaller than the sum of its proper divisors (284461872).

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

135457680 is a wasteful number, since it uses less digits than its factorization.

135457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564423 (or 564417 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 135457680 is about 11638.6287852135. The cubic root of 135457680 is about 513.5718499532.

The spelling of 135457680 in words is "one hundred thirty-five million, four hundred fifty-seven thousand, six hundred eighty".