133378560 has 240 divisors, whose sum is σ = 528555456. Its totient is φ = 30449664.

The previous prime is 133378559. The next prime is 133378571. The reversal of 133378560 is 65873331.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160867 + ... + 161693.

Almost surely, 2^133378560 is an apocalyptic number.

133378560 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 133378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264277728).

133378560 is an abundant number, since it is smaller than the sum of its proper divisors (395176896).

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

133378560 is an equidigital number, since it uses as much as digits as its factorization.

133378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133378560 is about 11548.9635898638. The cubic root of 133378560 is about 510.9307111013.

The spelling of 133378560 in words is "one hundred thirty-three million, three hundred seventy-eight thousand, five hundred sixty".