133361556480 has 264 divisors, whose sum is σ = 489279213072. Its totient is φ = 33470939136.

The previous prime is 133361556439. The next prime is 133361556533. The reversal of 133361556480 is 84655163331.

133361556480 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 6 + 1 + 5 + 564 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698239 + ... + 868481.

Almost surely, 2^133361556480 is an apocalyptic number.

133361556480 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 133361556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244639606536).

133361556480 is an abundant number, since it is smaller than the sum of its proper divisors (355917656592).

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

133361556480 is a wasteful number, since it uses less digits than its factorization.

133361556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170291 (or 170270 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 133361556480 in words is "one hundred thirty-three billion, three hundred sixty-one million, five hundred fifty-six thousand, four hundred eighty".