135105400 has 48 divisors (see below), whose sum is σ = 315258840. Its totient is φ = 53846400.

The previous prime is 135105361. The next prime is 135105413. The reversal of 135105400 is 4501531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62335 + ... + 64465.

Almost surely, 2^135105400 is an apocalyptic number.

135105400 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 135105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157629420).

135105400 is an abundant number, since it is smaller than the sum of its proper divisors (180153440).

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

135105400 is a wasteful number, since it uses less digits than its factorization.

135105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 135105400 is about 11623.4848474973. The cubic root of 135105400 is about 513.1262540626.

Adding to 135105400 its reverse (4501531), we get a palindrome (139606931).

The spelling of 135105400 in words is "one hundred thirty-five million, one hundred five thousand, four hundred".