133146548443136 has 192 divisors, whose sum is σ = 280225164492000. Its totient is φ = 63164169584640.

The previous prime is 133146548443109. The next prime is 133146548443163. The reversal of 133146548443136 is 631344845641331.

It is an interprime number because it is at equal distance from previous prime (133146548443109) and next prime (133146548443163).

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 15 ways as a sum of consecutive naturals, for example, 7422174455 + ... + 7422192393.

Almost surely, 2^{133146548443136} is an apocalyptic number.

133146548443136 is a gapful number since it is divisible by the number (16) 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 133146548443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140112582246000).

133146548443136 is an abundant number, since it is smaller than the sum of its proper divisors (147078616048864).

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

133146548443136 is a wasteful number, since it uses less digits than its factorization.

133146548443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20428 (or 20408 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 56.

The spelling of 133146548443136 in words is "one hundred thirty-three trillion, one hundred forty-six billion, five hundred forty-eight million, four hundred forty-three thousand, one hundred thirty-six".