133125552 has 240 divisors, whose sum is σ = 469315200. Its totient is φ = 35925120.

The previous prime is 133125547. The next prime is 133125557. The reversal of 133125552 is 255521331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133125547) and next prime (133125557).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133125557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402027 + ... + 402357.

It is an arithmetic number, because the mean of its divisors is an integer number (1955480).

Almost surely, 2^133125552 is an apocalyptic number.

133125552 is a gapful number since it is divisible by the number (12) 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 133125552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234657600).

133125552 is an abundant number, since it is smaller than the sum of its proper divisors (336189648).

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

133125552 is a wasteful number, since it uses less digits than its factorization.

133125552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 133125552 is about 11538.0046801863. The cubic root of 133125552 is about 510.6074423005.

Adding to 133125552 its reverse (255521331), we get a palindrome (388646883).

The spelling of 133125552 in words is "one hundred thirty-three million, one hundred twenty-five thousand, five hundred fifty-two".