135752200 has 24 divisors (see below), whose sum is σ = 315624330. Its totient is φ = 54300800.

The previous prime is 135752159. The next prime is 135752209. The reversal of 135752200 is 2257531.

It can be written as a sum of positive squares in 3 ways, for example, as 89756676 + 45995524 = 9474^2 + 6782^2 .

It is a super-3 number, since 3×135752200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135752209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 339181 + ... + 339580.

Almost surely, 2^135752200 is an apocalyptic number.

135752200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135752200 is an abundant number, since it is smaller than the sum of its proper divisors (179872130).

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

135752200 is a wasteful number, since it uses less digits than its factorization.

135752200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678777 (or 678768 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 135752200 is about 11651.2746083851. The cubic root of 135752200 is about 513.9437931544.

The spelling of 135752200 in words is "one hundred thirty-five million, seven hundred fifty-two thousand, two hundred".