135945600 has 432 divisors, whose sum is σ = 553318380. Its totient is φ = 29245440.

The previous prime is 135945581. The next prime is 135945647. The reversal of 135945600 is 6549531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7996792 + ... + 7996808.

Almost surely, 2^135945600 is an apocalyptic number.

135945600 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 135945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276659190).

135945600 is an abundant number, since it is smaller than the sum of its proper divisors (417372780).

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

135945600 is a wasteful number, since it uses less digits than its factorization.

135945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 135945600 is about 11659.5711756479. The cubic root of 135945600 is about 514.1877414782.

The spelling of 135945600 in words is "one hundred thirty-five million, nine hundred forty-five thousand, six hundred".