133146478080 has 1600 divisors, whose sum is σ = 616023429120. Its totient is φ = 26674790400.

The previous prime is 133146478051. The next prime is 133146478093. The reversal of 133146478080 is 80874641331.

133146478080 is a `hidden beast` number, since 1 + 3 + 31 + 464 + 7 + 80 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494968186 + ... + 494968454.

Almost surely, 2^133146478080 is an apocalyptic number.

133146478080 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 133146478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308011714560).

133146478080 is an abundant number, since it is smaller than the sum of its proper divisors (482876951040).

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

133146478080 is a wasteful number, since it uses less digits than its factorization.

133146478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 133146478080 in words is "one hundred thirty-three billion, one hundred forty-six million, four hundred seventy-eight thousand, eighty".