135065400 has 48 divisors (see below), whose sum is σ = 418704600. Its totient is φ = 36017280.

The previous prime is 135065387. The next prime is 135065401. The reversal of 135065400 is 4560531.

135065400 = 370² + 371² + ... + 769².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135065401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111955 + ... + 113154.

Almost surely, 2^135065400 is an apocalyptic number.

135065400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135065400 is an abundant number, since it is smaller than the sum of its proper divisors (283639200).

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

135065400 is a wasteful number, since it uses less digits than its factorization.

135065400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225128 (or 225119 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135065400 is about 11621.7640657518. The cubic root of 135065400 is about 513.0756094644.

The spelling of 135065400 in words is "one hundred thirty-five million, sixty-five thousand, four hundred".