75145212900 has 108 divisors (see below), whose sum is σ = 241904507572. Its totient is φ = 19497127680.

The previous prime is 75145212871. The next prime is 75145212917. The reversal of 75145212900 is 921254157.

75145212900 is a `hidden beast` number, since 7 + 514 + 52 + 1 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 367028964 + 74778183936 = 19158^2 + 273456^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1095007 + ... + 1161606.

Almost surely, 2^75145212900 is an apocalyptic number.

It is an amenable number.

75145212900 is an abundant number, since it is smaller than the sum of its proper divisors (166759294672).

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

75145212900 is a wasteful number, since it uses less digits than its factorization.

75145212900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256670 (or 2256660 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 75145212900 in words is "seventy-five billion, one hundred forty-five million, two hundred twelve thousand, nine hundred".