133904160 has 288 divisors, whose sum is σ = 515144448. Its totient is φ = 31426560.

The previous prime is 133904117. The next prime is 133904167. The reversal of 133904160 is 61409331.

133904160 = 495² + 496² + ... + 805².

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (133904167) 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, 430405 + ... + 430715.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 2^133904160 is an apocalyptic number.

133904160 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 133904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257572224).

133904160 is an abundant number, since it is smaller than the sum of its proper divisors (381240288).

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

133904160 is a wasteful number, since it uses less digits than its factorization.

133904160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 133904160 is about 11571.6965048345. The cubic root of 133904160 is about 511.6009667588.

The spelling of 133904160 in words is "one hundred thirty-three million, nine hundred four thousand, one hundred sixty".