133067760250000 has 105 divisors (see below), whose sum is σ = 322283325951093. Its totient is φ = 53224797000000.

The previous prime is 133067760249979. The next prime is 133067760250039. The reversal of 133067760250000 is 52067760331.

The square root of 133067760250000 is 11535500.

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

It can be written as a sum of positive squares in 3 ways, for example, as 116580132483984 + 16487627766016 = 10797228^2 + 4060496^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 5767738465 + ... + 5767761535.

Almost surely, 2^{133067760250000} is an apocalyptic number.

133067760250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133067760250000 is the 11535500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133067760250000

133067760250000 is an abundant number, since it is smaller than the sum of its proper divisors (189215565701093).

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

133067760250000 is an frugal number, since it uses more digits than its factorization.

133067760250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46180 (or 23078 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

It can be divided in two parts, 133067 and 760250000, that added together give a palindrome (760383067).

The spelling of 133067760250000 in words is "one hundred thirty-three trillion, sixty-seven billion, seven hundred sixty million, two hundred fifty thousand".