135819600 has 480 divisors, whose sum is σ = 560916480. Its totient is φ = 27371520.

The previous prime is 135819589. The next prime is 135819641. The reversal of 135819600 is 6918531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3670782 + ... + 3670818.

It is an arithmetic number, because the mean of its divisors is an integer number (1168576).

Almost surely, 2^135819600 is an apocalyptic number.

135819600 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 135819600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280458240).

135819600 is an abundant number, since it is smaller than the sum of its proper divisors (425096880).

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

135819600 is a wasteful number, since it uses less digits than its factorization.

135819600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 135819600 is about 11654.1666368728. The cubic root of 135819600 is about 514.0288355587.

The spelling of 135819600 in words is "one hundred thirty-five million, eight hundred nineteen thousand, six hundred".