133583514163008 has 336 divisors, whose sum is σ = 442818553080960. Its totient is φ = 35227003908096.

The previous prime is 133583514162997. The next prime is 133583514163069. The reversal of 133583514163008 is 800361415385331.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×133583514163008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235583258 + ... + 1235691366.

It is an arithmetic number, because the mean of its divisors is an integer number (1317912360360).

Almost surely, 2^{133583514163008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133583514163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221409276540480).

133583514163008 is an abundant number, since it is smaller than the sum of its proper divisors (309235038917952).

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

133583514163008 is a wasteful number, since it uses less digits than its factorization.

133583514163008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118254 (or 118237 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 133583514163008 in words is "one hundred thirty-three trillion, five hundred eighty-three billion, five hundred fourteen million, one hundred sixty-three thousand, eight".