135301500 has 144 divisors (see below), whose sum is σ = 432353376. Its totient is φ = 35616000.

The previous prime is 135301499. The next prime is 135301511. The reversal of 135301500 is 5103531.

It is a happy number.

135301500 is a `hidden beast` number, since 135 + 30 + 1 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481360 + ... + 481640.

It is an arithmetic number, because the mean of its divisors is an integer number (3002454).

Almost surely, 2^135301500 is an apocalyptic number.

135301500 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 135301500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216176688).

135301500 is an abundant number, since it is smaller than the sum of its proper divisors (297051876).

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

135301500 is a wasteful number, since it uses less digits than its factorization.

135301500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 135301500 is about 11631.9172968174. The cubic root of 135301500 is about 513.3743946840.

The spelling of 135301500 in words is "one hundred thirty-five million, three hundred one thousand, five hundred".