135362500 has 216 divisors, whose sum is σ = 392740488. Its totient is φ = 40320000.

The previous prime is 135362489. The next prime is 135362501. The reversal of 135362500 is 5263531.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 135349956 + 12544 = 11634^2 + 112^2 .

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 (135362501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7962492 + ... + 7962508.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 2^135362500 is an apocalyptic number.

135362500 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 135362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196370244).

135362500 is an abundant number, since it is smaller than the sum of its proper divisors (257377988).

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

135362500 is a wasteful number, since it uses less digits than its factorization.

135362500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

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

The square root of 135362500 is about 11634.5390970163. The cubic root of 135362500 is about 513.4515338462.

The spelling of 135362500 in words is "one hundred thirty-five million, three hundred sixty-two thousand, five hundred".