135632500 has 60 divisors (see below), whose sum is σ = 299154240. Its totient is φ = 53788000.

The previous prime is 135632489. The next prime is 135632501. The reversal of 135632500 is 5236531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135632501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 567381 + ... + 567619.

It is an arithmetic number, because the mean of its divisors is an integer number (4985904).

Almost surely, 2^135632500 is an apocalyptic number.

135632500 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 135632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149577120).

135632500 is an abundant number, since it is smaller than the sum of its proper divisors (163521740).

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

135632500 is a wasteful number, since it uses less digits than its factorization.

135632500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 135632500 is about 11646.1366984936. The cubic root of 135632500 is about 513.7926914597.

It can be divided in two parts, 1356 and 32500, that added together give a square (33856 = 184²).

The spelling of 135632500 in words is "one hundred thirty-five million, six hundred thirty-two thousand, five hundred".