135175500 has 384 divisors, whose sum is σ = 503193600. Its totient is φ = 31104000.

The previous prime is 135175499. The next prime is 135175501. The reversal of 135175500 is 5571531.

It is an interprime number because it is at equal distance from previous prime (135175499) and next prime (135175501).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135175501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4360485 + ... + 4360515.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^135175500 is an apocalyptic number.

135175500 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 135175500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

135175500 is an abundant number, since it is smaller than the sum of its proper divisors (368018100).

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

135175500 is a wasteful number, since it uses less digits than its factorization.

135175500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 135175500 is about 11626.4999032383. The cubic root of 135175500 is about 513.2149846169.

The spelling of 135175500 in words is "one hundred thirty-five million, one hundred seventy-five thousand, five hundred".