133625800 has 96 divisors (see below), whose sum is σ = 387385920. Its totient is φ = 41644800.

The previous prime is 133625771. The next prime is 133625809. The reversal of 133625800 is 8526331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (133625809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11062 + ... + 19738.

It is an arithmetic number, because the mean of its divisors is an integer number (4035270).

Almost surely, 2^133625800 is an apocalyptic number.

133625800 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 133625800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193692960).

133625800 is an abundant number, since it is smaller than the sum of its proper divisors (253760120).

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

133625800 is a wasteful number, since it uses less digits than its factorization.

133625800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 133625800 is about 11559.6626248347. The cubic root of 133625800 is about 511.2462154218.

The spelling of 133625800 in words is "one hundred thirty-three million, six hundred twenty-five thousand, eight hundred".