135607500 has 360 divisors, whose sum is σ = 523519920. Its totient is φ = 30240000.

The previous prime is 135607499. The next prime is 135607523. The reversal of 135607500 is 5706531.

135607500 is a `hidden beast` number, since 1 + 3 + 5 + 607 + 50 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3307480 + ... + 3307520.

It is an arithmetic number, because the mean of its divisors is an integer number (1454222).

Almost surely, 2^135607500 is an apocalyptic number.

135607500 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 135607500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261759960).

135607500 is an abundant number, since it is smaller than the sum of its proper divisors (387912420).

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

135607500 is a wasteful number, since it uses less digits than its factorization.

135607500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135607500 is about 11645.0633317299. The cubic root of 135607500 is about 513.7611218222.

The spelling of 135607500 in words is "one hundred thirty-five million, six hundred seven thousand, five hundred".