135741633775200 has 432 divisors, whose sum is σ = 502670482030080. Its totient is φ = 35739565355520.

The previous prime is 135741633775183. The next prime is 135741633775201. The reversal of 135741633775200 is 2577336147531.

135741633775200 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 4 + 1 + 63 + 377 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×135741633775200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135741633775201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10938237 + ... + 19776963.

Almost surely, 2^{135741633775200} is an apocalyptic number.

135741633775200 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 135741633775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251335241015040).

135741633775200 is an abundant number, since it is smaller than the sum of its proper divisors (366928848254880).

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

135741633775200 is an equidigital number, since it uses as much as digits as its factorization.

135741633775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838841 (or 8838816 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 135741633775200 in words is "one hundred thirty-five trillion, seven hundred forty-one billion, six hundred thirty-three million, seven hundred seventy-five thousand, two hundred".