133097040 has 160 divisors (see below), whose sum is σ = 469434240. Its totient is φ = 34642944.

The previous prime is 133097039. The next prime is 133097047. The reversal of 133097040 is 40790331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133096995 and 133097013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133097047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92164 + ... + 93596.

It is an arithmetic number, because the mean of its divisors is an integer number (2933964).

Almost surely, 2^133097040 is an apocalyptic number.

133097040 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 133097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234717120).

133097040 is an abundant number, since it is smaller than the sum of its proper divisors (336337200).

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

133097040 is a wasteful number, since it uses less digits than its factorization.

133097040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 133097040 is about 11536.7690451010. The cubic root of 133097040 is about 510.5709867925.

The spelling of 133097040 in words is "one hundred thirty-three million, ninety-seven thousand, forty".