135345600 has 336 divisors, whose sum is σ = 533542240. Its totient is φ = 33177600.

The previous prime is 135345559. The next prime is 135345611. The reversal of 135345600 is 6543531.

135345600 is a `hidden beast` number, since 1 + 3 + 53 + 4 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561480 + ... + 561720.

Almost surely, 2^135345600 is an apocalyptic number.

135345600 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 135345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266771120).

135345600 is an abundant number, since it is smaller than the sum of its proper divisors (398196640).

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

135345600 is a wasteful number, since it uses less digits than its factorization.

135345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135345600 is about 11633.8127885917. The cubic root of 135345600 is about 513.4301648258.

It can be divided in two parts, 135 and 345600, that multiplied together give a cube (46656000 = 360³).

The spelling of 135345600 in words is "one hundred thirty-five million, three hundred forty-five thousand, six hundred".