133729620480 has 240 divisors, whose sum is σ = 463910825664. Its totient is φ = 35602145280.

The previous prime is 133729620443. The next prime is 133729620487. The reversal of 133729620480 is 84026927331.

133729620480 is a `hidden beast` number, since 1 + 337 + 296 + 20 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×133729620480² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (133729620487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14902395 + ... + 14911365.

Almost surely, 2^133729620480 is an apocalyptic number.

133729620480 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 133729620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231955412832).

133729620480 is an abundant number, since it is smaller than the sum of its proper divisors (330181205184).

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

133729620480 is an equidigital number, since it uses as much as digits as its factorization.

133729620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9647 (or 9628 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 133729620480 in words is "one hundred thirty-three billion, seven hundred twenty-nine million, six hundred twenty thousand, four hundred eighty".