133726560 has 384 divisors, whose sum is σ = 510935040. Its totient is φ = 29030400.

The previous prime is 133726553. The next prime is 133726597. The reversal of 133726560 is 65627331.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3109899 + ... + 3109941.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^133726560 is an apocalyptic number.

133726560 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 133726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

133726560 is an abundant number, since it is smaller than the sum of its proper divisors (377208480).

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

133726560 is a wasteful number, since it uses less digits than its factorization.

133726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 133726560 is about 11564.0200622448. The cubic root of 133726560 is about 511.3746841914.

The spelling of 133726560 in words is "one hundred thirty-three million, seven hundred twenty-six thousand, five hundred sixty".