133053900 has 144 divisors (see below), whose sum is σ = 465970176. Its totient is φ = 28615680.

The previous prime is 133053881. The next prime is 133053901. The reversal of 133053900 is 9350331.

It is not an unprimeable number, because it can be changed into a prime (133053901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33837 + ... + 37563.

It is an arithmetic number, because the mean of its divisors is an integer number (3235904).

Almost surely, 2^133053900 is an apocalyptic number.

133053900 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 133053900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232985088).

133053900 is an abundant number, since it is smaller than the sum of its proper divisors (332916276).

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

133053900 is a wasteful number, since it uses less digits than its factorization.

133053900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 24.

The square root of 133053900 is about 11534.8992193257. The cubic root of 133053900 is about 510.5158179910.

It can be divided in two parts, 13305 and 3900, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 133053900 in words is "one hundred thirty-three million, fifty-three thousand, nine hundred".