135522400 has 144 divisors (see below), whose sum is σ = 362883024. Its totient is φ = 49121280.

The previous prime is 135522397. The next prime is 135522403. The reversal of 135522400 is 4225531.

It is an interprime number because it is at equal distance from previous prime (135522397) and next prime (135522403).

It is a super-3 number, since 3×135522400³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135522403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863122 + ... + 863278.

It is an arithmetic number, because the mean of its divisors is an integer number (2520021).

Almost surely, 2^135522400 is an apocalyptic number.

135522400 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 135522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181441512).

135522400 is an abundant number, since it is smaller than the sum of its proper divisors (227360624).

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

135522400 is a wasteful number, since it uses less digits than its factorization.

135522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 135522400 is about 11641.4088494477. The cubic root of 135522400 is about 513.6536296842.

Adding to 135522400 its reverse (4225531), we get a palindrome (139747931).

The spelling of 135522400 in words is "one hundred thirty-five million, five hundred twenty-two thousand, four hundred".