133934653440 has 1120 divisors, whose sum is σ = 563302586880. Its totient is φ = 29812064256.

The previous prime is 133934653417. The next prime is 133934653543. The reversal of 133934653440 is 44356439331.

133934653440 is a `hidden beast` number, since 1 + 3 + 39 + 3 + 46 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1695375321 + ... + 1695375399.

Almost surely, 2^133934653440 is an apocalyptic number.

133934653440 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 133934653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281651293440).

133934653440 is an abundant number, since it is smaller than the sum of its proper divisors (429367933440).

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

133934653440 is an frugal number, since it uses more digits than its factorization.

133934653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 133934653440 in words is "one hundred thirty-three billion, nine hundred thirty-four million, six hundred fifty-three thousand, four hundred forty".