133960714056000 has 2240 divisors, whose sum is σ = 558388648097280. Its totient is φ = 31517119180800.

The previous prime is 133960714055957. The next prime is 133960714056007. The reversal of 133960714056000 is 650417069331.

It is a happy number.

133960714056000 is a `hidden beast` number, since 1 + 3 + 39 + 6 + 0 + 7 + 1 + 4 + 0 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×133960714056000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133960714056007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 102494807347 + ... + 102494808653.

It is an arithmetic number, because the mean of its divisors is an integer number (249280646472).

Almost surely, 2^{133960714056000} is an apocalyptic number.

133960714056000 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 133960714056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279194324048640).

133960714056000 is an abundant number, since it is smaller than the sum of its proper divisors (424427934041280).

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

133960714056000 is an equidigital number, since it uses as much as digits as its factorization.

133960714056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 133960714056000 in words is "one hundred thirty-three trillion, nine hundred sixty billion, seven hundred fourteen million, fifty-six thousand".