133123700 has 72 divisors (see below), whose sum is σ = 299959968. Its totient is φ = 51246720.

The previous prime is 133123699. The next prime is 133123721. The reversal of 133123700 is 7321331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356714 + ... + 357086.

Almost surely, 2^133123700 is an apocalyptic number.

133123700 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 133123700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149979984).

133123700 is an abundant number, since it is smaller than the sum of its proper divisors (166836268).

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

133123700 is a wasteful number, since it uses less digits than its factorization.

133123700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 133123700 is about 11537.9244233961. The cubic root of 133123700 is about 510.6050744871.

The spelling of 133123700 in words is "one hundred thirty-three million, one hundred twenty-three thousand, seven hundred".