133402500 has 405 divisors, whose sum is σ = 538789251. Its totient is φ = 27720000.

The previous prime is 133402471. The next prime is 133402513. The reversal of 133402500 is 5204331.

The square root of 133402500 is 11550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10458756 + 122943744 = 3234^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12127495 + ... + 12127505.

Almost surely, 2^133402500 is an apocalyptic number.

133402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133402500 is the 11550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133402500

133402500 is an abundant number, since it is smaller than the sum of its proper divisors (405386751).

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

133402500 is a wasteful number, since it uses less digits than its factorization.

133402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The cubic root of 133402500 is about 510.9612781067.

Adding to 133402500 its reverse (5204331), we get a palindrome (138606831).

The spelling of 133402500 in words is "one hundred thirty-three million, four hundred two thousand, five hundred".