133454812680 has 768 divisors, whose sum is σ = 542090465280. Its totient is φ = 28868742144.

The previous prime is 133454812663. The next prime is 133454812789. The reversal of 133454812680 is 86218454331.

133454812680 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 548 + 1 + 26 + 80 = 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 191 ways as a sum of consecutive naturals, for example, 167446042 + ... + 167446838.

It is an arithmetic number, because the mean of its divisors is an integer number (705846960).

Almost surely, 2^133454812680 is an apocalyptic number.

133454812680 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 133454812680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271045232640).

133454812680 is an abundant number, since it is smaller than the sum of its proper divisors (408635652600).

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

133454812680 is a wasteful number, since it uses less digits than its factorization.

133454812680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 133454812680 in words is "one hundred thirty-three billion, four hundred fifty-four million, eight hundred twelve thousand, six hundred eighty".