151244404000 has 96 divisors (see below), whose sum is σ = 378619493616. Its totient is φ = 59356211200.

The previous prime is 151244403901. The next prime is 151244404001. The reversal of 151244404000 is 404442151.

151244404000 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 8 ways, for example, as 23346617616 + 127897786384 = 152796^2 + 357628^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (151244404001) 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 15 ways as a sum of consecutive naturals, for example, 144709 + ... + 568708.

Almost surely, 2^151244404000 is an apocalyptic number.

151244404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151244404000 is an abundant number, since it is smaller than the sum of its proper divisors (227375089616).

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

151244404000 is an equidigital number, since it uses as much as digits as its factorization.

151244404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713495 (or 713477 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 151244404000 its reverse (404442151), we get a palindrome (151648846151).

The spelling of 151244404000 in words is "one hundred fifty-one billion, two hundred forty-four million, four hundred four thousand".