135782829600 has 288 divisors, whose sum is σ = 482693105664. Its totient is φ = 32880153600.

The previous prime is 135782829577. The next prime is 135782829629. The reversal of 135782829600 is 6928287531.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29116869 + ... + 29121531.

It is an arithmetic number, because the mean of its divisors is an integer number (1676017728).

Almost surely, 2^135782829600 is an apocalyptic number.

135782829600 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 135782829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241346552832).

135782829600 is an abundant number, since it is smaller than the sum of its proper divisors (346910276064).

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

135782829600 is a wasteful number, since it uses less digits than its factorization.

135782829600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 135782829600 in words is "one hundred thirty-five billion, seven hundred eighty-two million, eight hundred twenty-nine thousand, six hundred".