133077120 has 128 divisors (see below), whose sum is σ = 462818880. Its totient is φ = 32256000.

The previous prime is 133077107. The next prime is 133077157. The reversal of 133077120 is 21770331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17970 + ... + 24270.

Almost surely, 2^133077120 is an apocalyptic number.

133077120 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 133077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231409440).

133077120 is an abundant number, since it is smaller than the sum of its proper divisors (329741760).

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

133077120 is a wasteful number, since it uses less digits than its factorization.

133077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 133077120 is about 11535.9056861609. The cubic root of 133077120 is about 510.5455139458.

The spelling of 133077120 in words is "one hundred thirty-three million, seventy-seven thousand, one hundred twenty".