135985500 has 192 divisors, whose sum is σ = 503193600. Its totient is φ = 31060800.

The previous prime is 135985477. The next prime is 135985511. The reversal of 135985500 is 5589531.

It is a happy number.

135985500 is a `hidden beast` number, since 13 + 5 + 98 + 550 + 0 = 666.

135985500 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93781 + ... + 95219.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^135985500 is an apocalyptic number.

135985500 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 135985500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

135985500 is an abundant number, since it is smaller than the sum of its proper divisors (367208100).

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

135985500 is a wasteful number, since it uses less digits than its factorization.

135985500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 135985500 is about 11661.2820907480. The cubic root of 135985500 is about 514.2380412159.

The spelling of 135985500 in words is "one hundred thirty-five million, nine hundred eighty-five thousand, five hundred".