133806435840 has 1280 divisors, whose sum is σ = 612440801280. Its totient is φ = 26873856000.

The previous prime is 133806435803. The next prime is 133806435853. The reversal of 133806435840 is 48534608331.

133806435840 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 0 + 64 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 164989035 + ... + 164989845.

It is an arithmetic number, because the mean of its divisors is an integer number (478469376).

Almost surely, 2^133806435840 is an apocalyptic number.

133806435840 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 133806435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306220400640).

133806435840 is an abundant number, since it is smaller than the sum of its proper divisors (478634365440).

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

133806435840 is a wasteful number, since it uses less digits than its factorization.

133806435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 133806435840 in words is "one hundred thirty-three billion, eight hundred six million, four hundred thirty-five thousand, eight hundred forty".