135763200 has 162 divisors, whose sum is σ = 485590014. Its totient is φ = 36188160.

The previous prime is 135763193. The next prime is 135763217. The reversal of 135763200 is 2367531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 134931456 = 912^2 + 11616^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56422 + ... + 58778.

Almost surely, 2^135763200 is an apocalyptic number.

135763200 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 135763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242795007).

135763200 is an abundant number, since it is smaller than the sum of its proper divisors (349826814).

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

135763200 is a wasteful number, since it uses less digits than its factorization.

135763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 135763200 is about 11651.7466501808. The cubic root of 135763200 is about 513.9576744004.

The spelling of 135763200 in words is "one hundred thirty-five million, seven hundred sixty-three thousand, two hundred".