133378090408640 has 1120 divisors, whose sum is σ = 415801617285120. Its totient is φ = 39875925196800.

The previous prime is 133378090408583. The next prime is 133378090408649. The reversal of 133378090408640 is 46804090873331.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (133378090408649) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129117221564 + ... + 129117222596.

Almost surely, 2^{133378090408640} is an apocalyptic number.

133378090408640 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 133378090408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207900808642560).

133378090408640 is an abundant number, since it is smaller than the sum of its proper divisors (282423526876480).

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

133378090408640 is a wasteful number, since it uses less digits than its factorization.

133378090408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 133378090408640 in words is "one hundred thirty-three trillion, three hundred seventy-eight billion, ninety million, four hundred eight thousand, six hundred forty".