133488900720 has 720 divisors, whose sum is σ = 553553320320. Its totient is φ = 29793028608.

The previous prime is 133488900697. The next prime is 133488900733. The reversal of 133488900720 is 27009884331.

133488900720 is a `hidden beast` number, since 13 + 3 + 488 + 90 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40958451 + ... + 40961709.

It is an arithmetic number, because the mean of its divisors is an integer number (768824056).

Almost surely, 2^133488900720 is an apocalyptic number.

133488900720 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 133488900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276776660160).

133488900720 is an abundant number, since it is smaller than the sum of its proper divisors (420064419600).

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

133488900720 is a wasteful number, since it uses less digits than its factorization.

133488900720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 133488900720 in words is "one hundred thirty-three billion, four hundred eighty-eight million, nine hundred thousand, seven hundred twenty".