133097580 has 360 divisors, whose sum is σ = 529910304. Its totient is φ = 27371520.

The previous prime is 133097579. The next prime is 133097581. The reversal of 133097580 is 85790331.

It is an interprime number because it is at equal distance from previous prime (133097579) and next prime (133097581).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133097581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1372092 + ... + 1372188.

Almost surely, 2^133097580 is an apocalyptic number.

133097580 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 133097580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264955152).

133097580 is an abundant number, since it is smaller than the sum of its proper divisors (396812724).

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

133097580 is a wasteful number, since it uses less digits than its factorization.

133097580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 133097580 is about 11536.7924485101. The cubic root of 133097580 is about 510.5716772861.

The spelling of 133097580 in words is "one hundred thirty-three million, ninety-seven thousand, five hundred eighty".