133770000 has 400 divisors, whose sum is σ = 542326400. Its totient is φ = 28224000.

The previous prime is 133769983. The next prime is 133770023. The reversal of 133770000 is 77331.

133770000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (21) 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10289994 + ... + 10290006.

It is an arithmetic number, because the mean of its divisors is an integer number (1355816).

Almost surely, 2^133770000 is an apocalyptic number.

133770000 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 133770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271163200).

133770000 is an abundant number, since it is smaller than the sum of its proper divisors (408556400).

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

133770000 is an equidigital number, since it uses as much as digits as its factorization.

133770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 133770000 is about 11565.8981493008. The cubic root of 133770000 is about 511.4300501844.

The spelling of 133770000 in words is "one hundred thirty-three million, seven hundred seventy thousand".