133363120 has 40 divisors (see below), whose sum is σ = 338259600. Its totient is φ = 48495360.

The previous prime is 133363103. The next prime is 133363121. The reversal of 133363120 is 21363331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×133363120² = 35571443552268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133363091 and 133363100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133363121) 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 7 ways as a sum of consecutive naturals, for example, 74895 + ... + 76654.

It is an arithmetic number, because the mean of its divisors is an integer number (8456490).

Almost surely, 2^133363120 is an apocalyptic number.

133363120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133363120 is an abundant number, since it is smaller than the sum of its proper divisors (204896480).

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

133363120 is a wasteful number, since it uses less digits than its factorization.

133363120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151573 (or 151567 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 133363120 is about 11548.2951122666. The cubic root of 133363120 is about 510.9109951025.

The spelling of 133363120 in words is "one hundred thirty-three million, three hundred sixty-three thousand, one hundred twenty".