133677120 has 112 divisors (see below), whose sum is σ = 449445888. Its totient is φ = 33546240.

The previous prime is 133677091. The next prime is 133677161. The reversal of 133677120 is 21776331.

It is a super-2 number, since 2×133677120² = 35739144822988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12225 + ... + 20415.

Almost surely, 2^133677120 is an apocalyptic number.

133677120 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 133677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224722944).

133677120 is an abundant number, since it is smaller than the sum of its proper divisors (315768768).

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

133677120 is a wasteful number, since it uses less digits than its factorization.

133677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 133677120 is about 11561.8821997113. The cubic root of 133677120 is about 511.3116563712.

The spelling of 133677120 in words is "one hundred thirty-three million, six hundred seventy-seven thousand, one hundred twenty".