133356780 has 120 divisors (see below), whose sum is σ = 421277472. Its totient is φ = 35313408.

The previous prime is 133356779. The next prime is 133356787. The reversal of 133356780 is 87653331.

133356780 is a `hidden beast` number, since 13 + 3 + 3 + 567 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133356787) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 425904 + ... + 426216.

Almost surely, 2^133356780 is an apocalyptic number.

133356780 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 133356780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210638736).

133356780 is an abundant number, since it is smaller than the sum of its proper divisors (287920692).

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

133356780 is a wasteful number, since it uses less digits than its factorization.

133356780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

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

The square root of 133356780 is about 11548.0206096110. The cubic root of 133356780 is about 510.9028988436.

The spelling of 133356780 in words is "one hundred thirty-three million, three hundred fifty-six thousand, seven hundred eighty".