133288634160 has 480 divisors, whose sum is σ = 520946657280. Its totient is φ = 31268160000.

The previous prime is 133288634153. The next prime is 133288634231. The reversal of 133288634160 is 61436882331.

133288634160 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 8 + 8 + 634 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8093935 + ... + 8110385.

It is an arithmetic number, because the mean of its divisors is an integer number (1085305536).

Almost surely, 2^133288634160 is an apocalyptic number.

133288634160 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 133288634160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260473328640).

133288634160 is an abundant number, since it is smaller than the sum of its proper divisors (387658023120).

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

133288634160 is a wasteful number, since it uses less digits than its factorization.

133288634160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16526 (or 16503 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 133288634160 in words is "one hundred thirty-three billion, two hundred eighty-eight million, six hundred thirty-four thousand, one hundred sixty".