133690174652160 has 1440 divisors, whose sum is σ = 560497472865792. Its totient is φ = 29789649469440.

The previous prime is 133690174652149. The next prime is 133690174652161. The reversal of 133690174652160 is 61256471096331.

133690174652160 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 9 + 0 + 17 + 46 + 521 + 60 = 666.

133690174652160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 133690174652097 and 133690174652106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133690174652161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17382673915 + ... + 17382681605.

Almost surely, 2^{133690174652160} is an apocalyptic number.

133690174652160 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 133690174652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280248736432896).

133690174652160 is an abundant number, since it is smaller than the sum of its proper divisors (426807298213632).

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

133690174652160 is an equidigital number, since it uses as much as digits as its factorization.

133690174652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8331 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 133690174652160 in words is "one hundred thirty-three trillion, six hundred ninety billion, one hundred seventy-four million, six hundred fifty-two thousand, one hundred sixty".