133306467840 has 1440 divisors, whose sum is σ = 599060157696. Its totient is φ = 27126005760.

The previous prime is 133306467803. The next prime is 133306467841. The reversal of 133306467840 is 48764603331.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×133306467840² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133306467841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 454970734 + ... + 454971026.

Almost surely, 2^133306467840 is an apocalyptic number.

133306467840 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 133306467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299530078848).

133306467840 is an abundant number, since it is smaller than the sum of its proper divisors (465753689856).

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

133306467840 is a wasteful number, since it uses less digits than its factorization.

133306467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 133306467840 in words is "one hundred thirty-three billion, three hundred six million, four hundred sixty-seven thousand, eight hundred forty".