133190656830 has 1152 divisors, whose sum is σ = 497798784000. Its totient is φ = 25147584000.

The previous prime is 133190656813. The next prime is 133190656853. The reversal of 133190656830 is 38656091331.

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 (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 882057255 + ... + 882057405.

It is an arithmetic number, because the mean of its divisors is an integer number (432117000).

Almost surely, 2^133190656830 is an apocalyptic number.

133190656830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133190656830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248899392000).

133190656830 is an abundant number, since it is smaller than the sum of its proper divisors (364608127170).

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

133190656830 is a wasteful number, since it uses less digits than its factorization.

133190656830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 133190656830 in words is "one hundred thirty-three billion, one hundred ninety million, six hundred fifty-six thousand, eight hundred thirty".