135729409200 has 240 divisors, whose sum is σ = 542071900416. Its totient is φ = 28203494400.

The previous prime is 135729409187. The next prime is 135729409201. The reversal of 135729409200 is 2904927531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (135729409201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642067 + ... + 826866.

Almost surely, 2^135729409200 is an apocalyptic number.

135729409200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135729409200 is an abundant number, since it is smaller than the sum of its proper divisors (406342491216).

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

135729409200 is a wasteful number, since it uses less digits than its factorization.

135729409200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468972 (or 1468961 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 135729409200 in words is "one hundred thirty-five billion, seven hundred twenty-nine million, four hundred nine thousand, two hundred".