135650400 has 144 divisors (see below), whose sum is σ = 457002000. Its totient is φ = 34908160.

The previous prime is 135650387. The next prime is 135650401. The reversal of 135650400 is 4056531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135650401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68626 + ... + 70574.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2^135650400 is an apocalyptic number.

135650400 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 135650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228501000).

135650400 is an abundant number, since it is smaller than the sum of its proper divisors (321351600).

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

135650400 is a wasteful number, since it uses less digits than its factorization.

135650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135650400 is about 11646.9051683269. The cubic root of 135650400 is about 513.8152929370.

The spelling of 135650400 in words is "one hundred thirty-five million, six hundred fifty thousand, four hundred".