133279400 has 48 divisors (see below), whose sum is σ = 312301440. Its totient is φ = 52894400.

The previous prime is 133279387. The next prime is 133279417. The reversal of 133279400 is 4972331.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23657 + ... + 28743.

It is an arithmetic number, because the mean of its divisors is an integer number (6506280).

Almost surely, 2^133279400 is an apocalyptic number.

133279400 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 133279400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156150720).

133279400 is an abundant number, since it is smaller than the sum of its proper divisors (179022040).

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

133279400 is a wasteful number, since it uses less digits than its factorization.

133279400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 133279400 is about 11544.6697657404. The cubic root of 133279400 is about 510.8040629358.

The spelling of 133279400 in words is "one hundred thirty-three million, two hundred seventy-nine thousand, four hundred".