135563400 has 432 divisors, whose sum is σ = 558195300. Its totient is φ = 29352960.

The previous prime is 135563399. The next prime is 135563401. The reversal of 135563400 is 4365531.

It is an interprime number because it is at equal distance from previous prime (135563399) and next prime (135563401).

It can be written as a sum of positive squares in 6 ways, for example, as 65707236 + 69856164 = 8106^2 + 8358^2 .

It is not an unprimeable number, because it can be changed into a prime (135563401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2557774 + ... + 2557826.

Almost surely, 2^135563400 is an apocalyptic number.

135563400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135563400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279097650).

135563400 is an abundant number, since it is smaller than the sum of its proper divisors (422631900).

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

135563400 is a wasteful number, since it uses less digits than its factorization.

135563400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135563400 is about 11643.1696715285. The cubic root of 135563400 is about 513.7054235215.

The spelling of 135563400 in words is "one hundred thirty-five million, five hundred sixty-three thousand, four hundred".