75133002816 has 273 divisors, whose sum is σ = 228497431879. Its totient is φ = 24511476096.

The previous prime is 75133002793. The next prime is 75133002821. The reversal of 75133002816 is 61820033157.

The square root of 75133002816 is 274104.

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

75133002816 is a `hidden beast` number, since 75 + 1 + 3 + 300 + 281 + 6 = 666.

It is a super-2 number, since 2×75133002816² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 1598574505 + ... + 1598574551.

Almost surely, 2^75133002816 is an apocalyptic number.

75133002816 is the 274104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75133002816

75133002816 is an abundant number, since it is smaller than the sum of its proper divisors (153364429063).

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

75133002816 is an frugal number, since it uses more digits than its factorization.

75133002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 75133002816 by its sum of digits (36), we get a square (2704788101376 = 1644624²).

75133002816 divided by its sum of digits (36) gives a square (2087027856 = 45684²).

The spelling of 75133002816 in words is "seventy-five billion, one hundred thirty-three million, two thousand, eight hundred sixteen".