133007515290 has 448 divisors, whose sum is σ = 400223932416. Its totient is φ = 31603654656.

The previous prime is 133007515273. The next prime is 133007515297. The reversal of 133007515290 is 92515700331.

133007515290 is a `hidden beast` number, since 13 + 300 + 7 + 51 + 5 + 290 = 666.

It is not an unprimeable number, because it can be changed into a prime (133007515297) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 517538842 + ... + 517539098.

It is an arithmetic number, because the mean of its divisors is an integer number (893356992).

Almost surely, 2^133007515290 is an apocalyptic number.

133007515290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133007515290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200111966208).

133007515290 is an abundant number, since it is smaller than the sum of its proper divisors (267216417126).

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

133007515290 is a wasteful number, since it uses less digits than its factorization.

133007515290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 133007515290 in words is "one hundred thirty-three billion, seven million, five hundred fifteen thousand, two hundred ninety".