151206477200 has 60 divisors (see below), whose sum is σ = 370127831508. Its totient is φ = 59341401600.

The previous prime is 151206477199. The next prime is 151206477209. The reversal of 151206477200 is 2774602151.

151206477200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17112825856 + 134093651344 = 130816^2 + 366188^2 .

It is not an unprimeable number, because it can be changed into a prime (151206477209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3544991 + ... + 3587390.

Almost surely, 2^151206477200 is an apocalyptic number.

151206477200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151206477200 is an abundant number, since it is smaller than the sum of its proper divisors (218921354308).

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

151206477200 is a wasteful number, since it uses less digits than its factorization.

151206477200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132452 (or 7132441 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 151206477200 in words is "one hundred fifty-one billion, two hundred six million, four hundred seventy-seven thousand, two hundred".