135398400 has 264 divisors, whose sum is σ = 469074144. Its totient is φ = 34406400.

The previous prime is 135398381. The next prime is 135398413. The reversal of 135398400 is 4893531.

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, 3148779 + ... + 3148821.

It is an arithmetic number, because the mean of its divisors is an integer number (1776796).

Almost surely, 2^135398400 is an apocalyptic number.

135398400 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 135398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234537072).

135398400 is an abundant number, since it is smaller than the sum of its proper divisors (333675744).

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

135398400 is a wasteful number, since it uses less digits than its factorization.

135398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 135398400 is about 11636.0818147691. The cubic root of 135398400 is about 513.4969213076.

The spelling of 135398400 in words is "one hundred thirty-five million, three hundred ninety-eight thousand, four hundred".