135038400 has 168 divisors, whose sum is σ = 506455680. Its totient is φ = 30858240.

The previous prime is 135038399. The next prime is 135038443. The reversal of 135038400 is 4830531.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31591 + ... + 35609.

Almost surely, 2^135038400 is an apocalyptic number.

135038400 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 135038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253227840).

135038400 is an abundant number, since it is smaller than the sum of its proper divisors (371417280).

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

135038400 is a wasteful number, since it uses less digits than its factorization.

135038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135038400 is about 11620.6023940242. The cubic root of 135038400 is about 513.0414187078.

Adding to 135038400 its reverse (4830531), we get a palindrome (139868931).

It can be divided in two parts, 1350 and 38400, that multiplied together give a square (51840000 = 7200²).

The spelling of 135038400 in words is "one hundred thirty-five million, thirty-eight thousand, four hundred".