133457625 has 120 divisors (see below), whose sum is σ = 290501640. Its totient is φ = 60782400.

The previous prime is 133457603. The next prime is 133457629. The reversal of 133457625 is 526754331.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 105452361 = 5292^2 + 10269^2 .

It is not a de Polignac number, because 133457625 - 2⁵ = 133457593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133457625.

It is not an unprimeable number, because it can be changed into a prime (133457629) 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 119 ways as a sum of consecutive naturals, for example, 495991 + ... + 496259.

It is an arithmetic number, because the mean of its divisors is an integer number (2420847).

Almost surely, 2^133457625 is an apocalyptic number.

133457625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133457625 is an abundant number, since it is smaller than the sum of its proper divisors (157044015).

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

133457625 is an equidigital number, since it uses as much as digits as its factorization.

133457625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 284 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 133457625 is about 11552.3861171621. The cubic root of 133457625 is about 511.0316487560.

The spelling of 133457625 in words is "one hundred thirty-three million, four hundred fifty-seven thousand, six hundred twenty-five".