135302400 has 378 divisors, whose sum is σ = 519426390. Its totient is φ = 34836480.

The previous prime is 135302359. The next prime is 135302407. The reversal of 135302400 is 4203531.

It can be written as a sum of positive squares in 3 ways, for example, as 9144576 + 126157824 = 3024^2 + 11232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135302407) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665586 + ... + 4665614.

Almost surely, 2^135302400 is an apocalyptic number.

135302400 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 135302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259713195).

135302400 is an abundant number, since it is smaller than the sum of its proper divisors (384123990).

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

135302400 is an frugal number, since it uses more digits than its factorization.

135302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 135302400 is about 11631.9559834105. The cubic root of 135302400 is about 513.3755329713.

Adding to 135302400 its reverse (4203531), we get a palindrome (139505931).

The spelling of 135302400 in words is "one hundred thirty-five million, three hundred two thousand, four hundred".