133530411840 has 896 divisors, whose sum is σ = 540458680320. Its totient is φ = 27278254080.

The previous prime is 133530411829. The next prime is 133530411841. The reversal of 133530411840 is 48114035331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133530411841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4307432625 + ... + 4307432655.

Almost surely, 2^133530411840 is an apocalyptic number.

133530411840 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 133530411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270229340160).

133530411840 is an abundant number, since it is smaller than the sum of its proper divisors (406928268480).

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

133530411840 is an equidigital number, since it uses as much as digits as its factorization.

133530411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 133530411840 in words is "one hundred thirty-three billion, five hundred thirty million, four hundred eleven thousand, eight hundred forty".