135751200 has 288 divisors, whose sum is σ = 503092800. Its totient is φ = 31518720.

The previous prime is 135751177. The next prime is 135751229. The reversal of 135751200 is 2157531.

135751200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 592686 + ... + 592914.

It is an arithmetic number, because the mean of its divisors is an integer number (1746850).

Almost surely, 2^135751200 is an apocalyptic number.

135751200 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 135751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251546400).

135751200 is an abundant number, since it is smaller than the sum of its proper divisors (367341600).

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

135751200 is a wasteful number, since it uses less digits than its factorization.

135751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 135751200 is about 11651.2316945463. The cubic root of 135751200 is about 513.9425311858.

The spelling of 135751200 in words is "one hundred thirty-five million, seven hundred fifty-one thousand, two hundred".