133004034540 has 144 divisors (see below), whose sum is σ = 434645973216. Its totient is φ = 32726937600.

The previous prime is 133004034533. The next prime is 133004034557. The reversal of 133004034540 is 45430400331.

133004034540 is a `hidden beast` number, since 13 + 300 + 4 + 0 + 345 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7106595 + ... + 7125285.

It is an arithmetic number, because the mean of its divisors is an integer number (3018374814).

Almost surely, 2^133004034540 is an apocalyptic number.

133004034540 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 133004034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217322986608).

133004034540 is an abundant number, since it is smaller than the sum of its proper divisors (301641938676).

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

133004034540 is a wasteful number, since it uses less digits than its factorization.

133004034540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21760 (or 21755 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 133004034540 its reverse (45430400331), we get a palindrome (178434434871).

The spelling of 133004034540 in words is "one hundred thirty-three billion, four million, thirty-four thousand, five hundred forty".