133867883520 has 1056 divisors, whose sum is σ = 579395980800. Its totient is φ = 28952100864.

The previous prime is 133867883483. The next prime is 133867883537. The reversal of 133867883520 is 25388768331.

133867883520 is a `hidden beast` number, since 1 + 3 + 38 + 6 + 7 + 8 + 83 + 520 = 666.

It is a super-2 number, since 2×133867883520² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165472876 + ... + 165473684.

Almost surely, 2^133867883520 is an apocalyptic number.

133867883520 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 133867883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289697990400).

133867883520 is an abundant number, since it is smaller than the sum of its proper divisors (445528097280).

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

133867883520 is an equidigital number, since it uses as much as digits as its factorization.

133867883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 133867883520 in words is "one hundred thirty-three billion, eight hundred sixty-seven million, eight hundred eighty-three thousand, five hundred twenty".