135114400 has 36 divisors (see below), whose sum is σ = 329849982. Its totient is φ = 54045440.

The previous prime is 135114389. The next prime is 135114407. The reversal of 135114400 is 4411531.

It can be written as a sum of positive squares in 3 ways, for example, as 52012944 + 83101456 = 7212^2 + 9116^2 .

It is not an unprimeable number, because it can be changed into a prime (135114407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 83647 + ... + 85246.

Almost surely, 2^135114400 is an apocalyptic number.

135114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135114400 is an abundant number, since it is smaller than the sum of its proper divisors (194735582).

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

135114400 is a wasteful number, since it uses less digits than its factorization.

135114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168913 (or 168900 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 135114400 is about 11623.8719882834. The cubic root of 135114400 is about 513.1376477196.

Adding to 135114400 its reverse (4411531), we get a palindrome (139525931).

It can be divided in two parts, 1351 and 14400, that added together give a palindrome (15751).

The spelling of 135114400 in words is "one hundred thirty-five million, one hundred fourteen thousand, four hundred".