133348287404160 has 1536 divisors, whose sum is σ = 510660108504000. Its totient is φ = 31972518789120.

The previous prime is 133348287404113. The next prime is 133348287404203. The reversal of 133348287404160 is 61404782843331.

133348287404160 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 482 + 87 + 40 + 41 + 6 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 3185196922944 + 130163090481216 = 1784712^2 + 11408904^2 .

It is a super-2 number, since 2×133348287404160² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133348287404097 and 133348287404106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13430178076 + ... + 13430188004.

Almost surely, 2^{133348287404160} is an apocalyptic number.

133348287404160 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 133348287404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255330054252000).

133348287404160 is an abundant number, since it is smaller than the sum of its proper divisors (377311821099840).

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

133348287404160 is a wasteful number, since it uses less digits than its factorization.

133348287404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 133348287404160 in words is "one hundred thirty-three trillion, three hundred forty-eight billion, two hundred eighty-seven million, four hundred four thousand, one hundred sixty".