151112442400 has 72 divisors (see below), whose sum is σ = 390603476340. Its totient is φ = 56889384960.

The previous prime is 151112442359. The next prime is 151112442401. The reversal of 151112442400 is 4244211151.

It can be written as a sum of positive squares in 6 ways, for example, as 67635364624 + 83477077776 = 260068^2 + 288924^2 .

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 (151112442401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5542005 + ... + 5569204.

Almost surely, 2^151112442400 is an apocalyptic number.

151112442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151112442400 is an abundant number, since it is smaller than the sum of its proper divisors (239491033940).

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

151112442400 is a wasteful number, since it uses less digits than its factorization.

151112442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111246 (or 11111233 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 151112442400 its reverse (4244211151), we get a palindrome (155356653551).

The spelling of 151112442400 in words is "one hundred fifty-one billion, one hundred twelve million, four hundred forty-two thousand, four hundred".