135541400 has 48 divisors (see below), whose sum is σ = 316226040. Its totient is φ = 54028800.

The previous prime is 135541387. The next prime is 135541403. The reversal of 135541400 is 4145531.

It is a super-2 number, since 2×135541400² = 36742942227920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135541403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66395 + ... + 68405.

Almost surely, 2^135541400 is an apocalyptic number.

135541400 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 135541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158113020).

135541400 is an abundant number, since it is smaller than the sum of its proper divisors (180684640).

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

135541400 is a wasteful number, since it uses less digits than its factorization.

135541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 135541400 is about 11642.2248732792. The cubic root of 135541400 is about 513.6776330049.

Adding to 135541400 its reverse (4145531), we get a palindrome (139686931).

The spelling of 135541400 in words is "one hundred thirty-five million, five hundred forty-one thousand, four hundred".