135978322200 has 576 divisors, whose sum is σ = 518904288000. Its totient is φ = 29288770560.

The previous prime is 135978322147. The next prime is 135978322201. The reversal of 135978322200 is 2223879531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135978322201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127918869 + ... + 127919931.

It is an arithmetic number, because the mean of its divisors is an integer number (900875500).

Almost surely, 2^135978322200 is an apocalyptic number.

135978322200 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 135978322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259452144000).

135978322200 is an abundant number, since it is smaller than the sum of its proper divisors (382925965800).

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

135978322200 is a wasteful number, since it uses less digits than its factorization.

135978322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 135978322200 in words is "one hundred thirty-five billion, nine hundred seventy-eight million, three hundred twenty-two thousand, two hundred".