135622600 has 96 divisors (see below), whose sum is σ = 337779720. Its totient is φ = 50462720.

The previous prime is 135622573. The next prime is 135622603. The reversal of 135622600 is 6226531.

It can be written as a sum of positive squares in 12 ways, for example, as 86436 + 135536164 = 294^2 + 11642^2 .

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

It is not an unprimeable number, because it can be changed into a prime (135622603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384024 + ... + 384376.

Almost surely, 2^135622600 is an apocalyptic number.

135622600 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 135622600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168889860).

135622600 is an abundant number, since it is smaller than the sum of its proper divisors (202157120).

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

135622600 is a wasteful number, since it uses less digits than its factorization.

135622600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 135622600 is about 11645.7116570865. The cubic root of 135622600 is about 513.7801903472.

The spelling of 135622600 in words is "one hundred thirty-five million, six hundred twenty-two thousand, six hundred".