135486600 has 192 divisors, whose sum is σ = 458006400. Its totient is φ = 32993280.

The previous prime is 135486557. The next prime is 135486607. The reversal of 135486600 is 6684531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135486607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377221 + ... + 377579.

It is an arithmetic number, because the mean of its divisors is an integer number (2385450).

Almost surely, 2^135486600 is an apocalyptic number.

135486600 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 135486600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229003200).

135486600 is an abundant number, since it is smaller than the sum of its proper divisors (322519800).

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

135486600 is a wasteful number, since it uses less digits than its factorization.

135486600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 135486600 is about 11639.8711333073. The cubic root of 135486600 is about 513.6083962778.

The spelling of 135486600 in words is "one hundred thirty-five million, four hundred eighty-six thousand, six hundred".