135346400 has 72 divisors (see below), whose sum is σ = 377632080. Its totient is φ = 46402560.

The previous prime is 135346399. The next prime is 135346411. The reversal of 135346400 is 4643531.

It is a self number, because there is not a number n which added to its sum of digits gives 135346400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6485 + ... + 17684.

It is an arithmetic number, because the mean of its divisors is an integer number (5244890).

Almost surely, 2^135346400 is an apocalyptic number.

135346400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135346400 is an abundant number, since it is smaller than the sum of its proper divisors (242285680).

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

135346400 is a wasteful number, since it uses less digits than its factorization.

135346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24196 (or 24183 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 135346400 is about 11633.8471710780. The cubic root of 135346400 is about 513.4311764171.

Adding to 135346400 its reverse (4643531), we get a palindrome (139989931).

The spelling of 135346400 in words is "one hundred thirty-five million, three hundred forty-six thousand, four hundred".