135347600 has 30 divisors (see below), whose sum is σ = 325173570. Its totient is φ = 54138880.

The previous prime is 135347599. The next prime is 135347609. The reversal of 135347600 is 6743531.

It can be written as a sum of positive squares in 3 ways, for example, as 30162064 + 105185536 = 5492^2 + 10256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135347609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168785 + ... + 169584.

It is an arithmetic number, because the mean of its divisors is an integer number (10839119).

Almost surely, 2^135347600 is an apocalyptic number.

135347600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135347600 is an abundant number, since it is smaller than the sum of its proper divisors (189825970).

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

135347600 is a wasteful number, since it uses less digits than its factorization.

135347600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338387 (or 338376 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 135347600 is about 11633.8987446170. The cubic root of 135347600 is about 513.4326937967.

The spelling of 135347600 in words is "one hundred thirty-five million, three hundred forty-seven thousand, six hundred".