135538200 has 288 divisors, whose sum is σ = 538536960. Its totient is φ = 29894400.

The previous prime is 135538187. The next prime is 135538201. The reversal of 135538200 is 2835531.

135538200 = T₂₄₅ + T₂₄₆ + ... + T₉₃₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135538201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390427 + ... + 390773.

It is an arithmetic number, because the mean of its divisors is an integer number (1869920).

Almost surely, 2^135538200 is an apocalyptic number.

135538200 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 135538200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269268480).

135538200 is an abundant number, since it is smaller than the sum of its proper divisors (402998760).

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

135538200 is a wasteful number, since it uses less digits than its factorization.

135538200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135538200 is about 11642.0874416919. The cubic root of 135538200 is about 513.6735904975.

The spelling of 135538200 in words is "one hundred thirty-five million, five hundred thirty-eight thousand, two hundred".