133782378624 has 192 divisors, whose sum is σ = 400447014240. Its totient is φ = 44458315776.

The previous prime is 133782378623. The next prime is 133782378677. The reversal of 133782378624 is 426873287331.

133782378624 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 8 + 2 + 3 + 7 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (133782378623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10475667 + ... + 10488429.

Almost surely, 2^133782378624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133782378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200223507120).

133782378624 is an abundant number, since it is smaller than the sum of its proper divisors (266664635616).

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

133782378624 is an equidigital number, since it uses as much as digits as its factorization.

133782378624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13129 (or 13105 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 133782378624 in words is "one hundred thirty-three billion, seven hundred eighty-two million, three hundred seventy-eight thousand, six hundred twenty-four".