133347923177040 has 640 divisors, whose sum is σ = 568008845107200. Its totient is φ = 28269562152960.

The previous prime is 133347923176981. The next prime is 133347923177089. The reversal of 133347923177040 is 40771329743331.

It is a happy number.

133347923177040 is a `hidden beast` number, since 1 + 3 + 3 + 347 + 92 + 3 + 177 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5492184 + ... + 17229623.

It is an arithmetic number, because the mean of its divisors is an integer number (887513820480).

Almost surely, 2^{133347923177040} is an apocalyptic number.

133347923177040 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 133347923177040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284004422553600).

133347923177040 is an abundant number, since it is smaller than the sum of its proper divisors (434660921930160).

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

133347923177040 is a wasteful number, since it uses less digits than its factorization.

133347923177040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22721872 (or 22721860 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 133347923177040 in words is "one hundred thirty-three trillion, three hundred forty-seven billion, nine hundred twenty-three million, one hundred seventy-seven thousand, forty".