133503349703040 has 512 divisors, whose sum is σ = 488293747200000. Its totient is φ = 34437161041920.

The previous prime is 133503349702999. The next prime is 133503349703099. The reversal of 133503349703040 is 40307943305331.

133503349703040 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 0 + 334 + 9 + 7 + 0 + 304 + 0 = 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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230402711 + ... + 1230511209.

It is an arithmetic number, because the mean of its divisors is an integer number (953698725000).

Almost surely, 2^{133503349703040} is an apocalyptic number.

133503349703040 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 133503349703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244146873600000).

133503349703040 is an abundant number, since it is smaller than the sum of its proper divisors (354790397496960).

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

133503349703040 is a wasteful number, since it uses less digits than its factorization.

133503349703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110855 (or 110837 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 133503349703040 in words is "one hundred thirty-three trillion, five hundred three billion, three hundred forty-nine million, seven hundred three thousand, forty".