133577532127680 has 896 divisors, whose sum is σ = 473612368674816. Its totient is φ = 31780510924800.

The previous prime is 133577532127621. The next prime is 133577532127771. The reversal of 133577532127680 is 86721235775331.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2329256767 + ... + 2329314113.

It is an arithmetic number, because the mean of its divisors is an integer number (528585232896).

Almost surely, 2^{133577532127680} is an apocalyptic number.

133577532127680 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 133577532127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236806184337408).

133577532127680 is an abundant number, since it is smaller than the sum of its proper divisors (340034836547136).

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

133577532127680 is a wasteful number, since it uses less digits than its factorization.

133577532127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57545 (or 57535 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 60.

The spelling of 133577532127680 in words is "one hundred thirty-three trillion, five hundred seventy-seven billion, five hundred thirty-two million, one hundred twenty-seven thousand, six hundred eighty".