135514800 has 90 divisors (see below), whose sum is σ = 470286492. Its totient is φ = 36136320.

The previous prime is 135514793. The next prime is 135514817. The reversal of 135514800 is 8415531.

135514800 is a `hidden beast` number, since 135 + 51 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×135514800² = 36728522038080000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 15222 + ... + 22421.

Almost surely, 2^135514800 is an apocalyptic number.

135514800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135514800 is an abundant number, since it is smaller than the sum of its proper divisors (334771692).

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

135514800 is a wasteful number, since it uses less digits than its factorization.

135514800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37667 (or 37653 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135514800 is about 11641.0824238986. The cubic root of 135514800 is about 513.6440277277.

The spelling of 135514800 in words is "one hundred thirty-five million, five hundred fourteen thousand, eight hundred".