133679160 has 192 divisors, whose sum is σ = 477640800. Its totient is φ = 33509376.

The previous prime is 133679129. The next prime is 133679167. The reversal of 133679160 is 61976331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133679167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164836 + ... + 165644.

Almost surely, 2^133679160 is an apocalyptic number.

133679160 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 133679160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238820400).

133679160 is an abundant number, since it is smaller than the sum of its proper divisors (343961640).

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

133679160 is a wasteful number, since it uses less digits than its factorization.

133679160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 133679160 is about 11561.9704203047. The cubic root of 133679160 is about 511.3142573410.

The spelling of 133679160 in words is "one hundred thirty-three million, six hundred seventy-nine thousand, one hundred sixty".