133796625984 has 448 divisors, whose sum is σ = 470443438080. Its totient is φ = 36458864640.

The previous prime is 133796625979. The next prime is 133796625997. The reversal of 133796625984 is 489526697331.

133796625984 is a `hidden beast` number, since 1 + 3 + 37 + 9 + 6 + 6 + 2 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164976939 + ... + 164977749.

It is an arithmetic number, because the mean of its divisors is an integer number (1050096960).

Almost surely, 2^133796625984 is an apocalyptic number.

133796625984 is a gapful number since it is divisible by the number (14) 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 133796625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235221719040).

133796625984 is an abundant number, since it is smaller than the sum of its proper divisors (336646812096).

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

133796625984 is a wasteful number, since it uses less digits than its factorization.

133796625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1439 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 133796625984 in words is "one hundred thirty-three billion, seven hundred ninety-six million, six hundred twenty-five thousand, nine hundred eighty-four".