135854880 has 96 divisors (see below), whose sum is σ = 489089664. Its totient is φ = 31051776.

The previous prime is 135854857. The next prime is 135854893. The reversal of 135854880 is 88458531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 16857 + ... + 23576.

It is an arithmetic number, because the mean of its divisors is an integer number (5094684).

Almost surely, 2^135854880 is an apocalyptic number.

135854880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135854880 is an abundant number, since it is smaller than the sum of its proper divisors (353234784).

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

135854880 is a wasteful number, since it uses less digits than its factorization.

135854880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40458 (or 40450 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 135854880 is about 11655.6801603338. The cubic root of 135854880 is about 514.0733391191.

The spelling of 135854880 in words is "one hundred thirty-five million, eight hundred fifty-four thousand, eight hundred eighty".