133465278240 has 1152 divisors, whose sum is σ = 575376721920. Its totient is φ = 27479015424.

The previous prime is 133465278239. The next prime is 133465278253. The reversal of 133465278240 is 42872564331.

133465278240 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 527 + 82 + 40 = 666.

It is a Cunningham number, because it is equal to 365329²-1.

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, 434740167 + ... + 434740473.

It is an arithmetic number, because the mean of its divisors is an integer number (499458960).

Almost surely, 2^133465278240 is an apocalyptic number.

133465278240 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 133465278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287688360960).

133465278240 is an abundant number, since it is smaller than the sum of its proper divisors (441911443680).

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

133465278240 is a wasteful number, since it uses less digits than its factorization.

With its successor (133465278241) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (454).

133465278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 133465278240 in words is "one hundred thirty-three billion, four hundred sixty-five million, two hundred seventy-eight thousand, two hundred forty".