133293414240 has 864 divisors, whose sum is σ = 558053465760. Its totient is φ = 29617975296.

The previous prime is 133293414223. The next prime is 133293414253. The reversal of 133293414240 is 42414392331.

133293414240 is a `hidden beast` number, since 133 + 2 + 93 + 414 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133293414195 and 133293414204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1222875306 + ... + 1222875414.

It is an arithmetic number, because the mean of its divisors is an integer number (645895215).

Almost surely, 2^133293414240 is an apocalyptic number.

133293414240 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 133293414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279026732880).

133293414240 is an abundant number, since it is smaller than the sum of its proper divisors (424760051520).

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

133293414240 is a wasteful number, since it uses less digits than its factorization.

133293414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 133293414240 in words is "one hundred thirty-three billion, two hundred ninety-three million, four hundred fourteen thousand, two hundred forty".