133051120 has 40 divisors (see below), whose sum is σ = 309823920. Its totient is φ = 53137920.

The previous prime is 133051111. The next prime is 133051123. The reversal of 133051120 is 21150331.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 133051094 and 133051103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133051123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100060 + ... + 101380.

It is an arithmetic number, because the mean of its divisors is an integer number (7745598).

Almost surely, 2^133051120 is an apocalyptic number.

133051120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133051120 is an abundant number, since it is smaller than the sum of its proper divisors (176772800).

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

133051120 is a wasteful number, since it uses less digits than its factorization.

133051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 133051120 is about 11534.7787148259. The cubic root of 133051120 is about 510.5122624298.

The spelling of 133051120 in words is "one hundred thirty-three million, fifty-one thousand, one hundred twenty".