133817962131120 has 320 divisors, whose sum is σ = 451814153472000. Its totient is φ = 32634577317888.

The previous prime is 133817962131083. The next prime is 133817962131121. The reversal of 133817962131120 is 21131269718331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 133817962131120.

It is not an unprimeable number, because it can be changed into a prime (133817962131121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701966857 + ... + 702157463.

It is an arithmetic number, because the mean of its divisors is an integer number (1411919229600).

Almost surely, 2^{133817962131120} is an apocalyptic number.

133817962131120 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 133817962131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225907076736000).

133817962131120 is an abundant number, since it is smaller than the sum of its proper divisors (317996191340880).

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

133817962131120 is a wasteful number, since it uses less digits than its factorization.

133817962131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195980 (or 195974 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 133817962131120 in words is "one hundred thirty-three trillion, eight hundred seventeen billion, nine hundred sixty-two million, one hundred thirty-one thousand, one hundred twenty".