133788780 has 96 divisors (see below), whose sum is σ = 420235200. Its totient is φ = 35334144.

The previous prime is 133788763. The next prime is 133788797. The reversal of 133788780 is 87887331.

It is an interprime number because it is at equal distance from previous prime (133788763) and next prime (133788797).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57724 + ... + 59996.

It is an arithmetic number, because the mean of its divisors is an integer number (4377450).

Almost surely, 2^133788780 is an apocalyptic number.

133788780 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 133788780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210117600).

133788780 is an abundant number, since it is smaller than the sum of its proper divisors (286446420).

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

133788780 is a wasteful number, since it uses less digits than its factorization.

133788780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 133788780 is about 11566.7099903127. The cubic root of 133788780 is about 511.4539823239.

The spelling of 133788780 in words is "one hundred thirty-three million, seven hundred eighty-eight thousand, seven hundred eighty".