65135400 has 192 divisors, whose sum is σ = 224985600. Its totient is φ = 15456000.

The previous prime is 65135353. The next prime is 65135407. The reversal of 65135400 is 453156.

65135400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (65135407) 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 47 ways as a sum of consecutive naturals, for example, 468531 + ... + 468669.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^65135400 is an apocalyptic number.

65135400 is a gapful number since it is divisible by the number (60) 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 65135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

65135400 is an abundant number, since it is smaller than the sum of its proper divisors (159850200).

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

65135400 is a wasteful number, since it uses less digits than its factorization.

65135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

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

The square root of 65135400 is about 8070.6505314008. The cubic root of 65135400 is about 402.3515649313.

Adding to 65135400 its reverse (453156), we get a palindrome (65588556).

The spelling of 65135400 in words is "sixty-five million, one hundred thirty-five thousand, four hundred".