135022500 has 180 divisors, whose sum is σ = 452864412. Its totient is φ = 33792000.

The previous prime is 135022477. The next prime is 135022501. The reversal of 135022500 is 5220531.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 91699776 + 43322724 = 9576^2 + 6582^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135022501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 382324 + ... + 382676.

Almost surely, 2^135022500 is an apocalyptic number.

135022500 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 135022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226432206).

135022500 is an abundant number, since it is smaller than the sum of its proper divisors (317841912).

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

135022500 is a wasteful number, since it uses less digits than its factorization.

135022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 135022500 is about 11619.9182441186. The cubic root of 135022500 is about 513.0212820190.

The spelling of 135022500 in words is "one hundred thirty-five million, twenty-two thousand, five hundred".