133190476392480 has 1152 divisors, whose sum is σ = 491958631600128. Its totient is φ = 30088153202688.

The previous prime is 133190476392439. The next prime is 133190476392521. The reversal of 133190476392480 is 84293674091331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133190476392439) and next prime (133190476392521).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 63819105997 + ... + 63819108083.

It is an arithmetic number, because the mean of its divisors is an integer number (427047423264).

Almost surely, 2^{133190476392480} is an apocalyptic number.

133190476392480 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 133190476392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245979315800064).

133190476392480 is an abundant number, since it is smaller than the sum of its proper divisors (358768155207648).

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

133190476392480 is a wasteful number, since it uses less digits than its factorization.

133190476392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 133190476392480 in words is "one hundred thirty-three trillion, one hundred ninety billion, four hundred seventy-six million, three hundred ninety-two thousand, four hundred eighty".