133380600 has 192 divisors, whose sum is σ = 437114880. Its totient is φ = 33600000.

The previous prime is 133380593. The next prime is 133380613. The reversal of 133380600 is 6083331.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320550 + ... + 1320650.

It is an arithmetic number, because the mean of its divisors is an integer number (2276640).

Almost surely, 2^133380600 is an apocalyptic number.

133380600 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 133380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

133380600 is an abundant number, since it is smaller than the sum of its proper divisors (303734280).

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

133380600 is a wasteful number, since it uses less digits than its factorization.

133380600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 133380600 is about 11549.0519091396. The cubic root of 133380600 is about 510.9333159511.

The spelling of 133380600 in words is "one hundred thirty-three million, three hundred eighty thousand, six hundred".