133355040 has 384 divisors, whose sum is σ = 536481792. Its totient is φ = 27095040.

The previous prime is 133355039. The next prime is 133355059. The reversal of 133355040 is 40553331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133355040.

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, 1878205 + ... + 1878275.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 2^133355040 is an apocalyptic number.

133355040 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 133355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268240896).

133355040 is an abundant number, since it is smaller than the sum of its proper divisors (403126752).

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

133355040 is a wasteful number, since it uses less digits than its factorization.

133355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 133355040 is about 11547.9452717789. The cubic root of 133355040 is about 510.9006767971.

The spelling of 133355040 in words is "one hundred thirty-three million, three hundred fifty-five thousand, forty".