133147890 has 48 divisors (see below), whose sum is σ = 348543000. Its totient is φ = 35264256.

The previous prime is 133147873. The next prime is 133147919. The reversal of 133147890 is 98741331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59582961 + 73564929 = 7719^2 + 8577^2 .

It is a super-2 number, since 2×133147890² = 35456721222904200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8446 + ... + 18374.

Almost surely, 2^133147890 is an apocalyptic number.

133147890 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 133147890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174271500).

133147890 is an abundant number, since it is smaller than the sum of its proper divisors (215395110).

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

133147890 is a wasteful number, since it uses less digits than its factorization.

133147890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091 (or 10088 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 133147890 is about 11538.9726579102. The cubic root of 133147890 is about 510.6360000816.

The spelling of 133147890 in words is "one hundred thirty-three million, one hundred forty-seven thousand, eight hundred ninety".