135778664448 has 756 divisors, whose sum is σ = 489953131290. Its totient is φ = 37456183296.

The previous prime is 135778664401. The next prime is 135778664449. The reversal of 135778664448 is 844466877531.

135778664448 is a `hidden beast` number, since 1 + 3 + 57 + 7 + 86 + 64 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114709561344 + 21069103104 = 338688^2 + 145152^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135778664449) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4682022898 + ... + 4682022926.

Almost surely, 2^135778664448 is an apocalyptic number.

135778664448 is a gapful number since it is divisible by the number (18) 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 135778664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244976565645).

135778664448 is an abundant number, since it is smaller than the sum of its proper divisors (354174466842).

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

135778664448 is an frugal number, since it uses more digits than its factorization.

135778664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 135778664448 in words is "one hundred thirty-five billion, seven hundred seventy-eight million, six hundred sixty-four thousand, four hundred forty-eight".