135209600 has 192 divisors, whose sum is σ = 364262400. Its totient is φ = 49459200.

The previous prime is 135209597. The next prime is 135209639. The reversal of 135209600 is 6902531.

135209600 = 8³ + 9³ + ... + 152³.

It is a self number, because there is not a number n which added to its sum of digits gives 135209600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2876777 + ... + 2876823.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 2^135209600 is an apocalyptic number.

135209600 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 135209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

135209600 is an abundant number, since it is smaller than the sum of its proper divisors (229052800).

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

135209600 is a wasteful number, since it uses less digits than its factorization.

135209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 135209600 is about 11627.9662882208. The cubic root of 135209600 is about 513.2581363212.

The spelling of 135209600 in words is "one hundred thirty-five million, two hundred nine thousand, six hundred".