151120206400 has 168 divisors, whose sum is σ = 387496705320. Its totient is φ = 57935216640.

The previous prime is 151120206389. The next prime is 151120206409. The reversal of 151120206400 is 4602021151.

151120206400 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 12 ways, for example, as 50473912896 + 100646293504 = 224664^2 + 317248^2 .

It is not an unprimeable number, because it can be changed into a prime (151120206409) 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 23 ways as a sum of consecutive naturals, for example, 6344914 + ... + 6368686.

Almost surely, 2^151120206400 is an apocalyptic number.

151120206400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151120206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193748352660).

151120206400 is an abundant number, since it is smaller than the sum of its proper divisors (236376498920).

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

151120206400 is a wasteful number, since it uses less digits than its factorization.

151120206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961 (or 23946 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 151120206400 its reverse (4602021151), we get a palindrome (155722227551).

The spelling of 151120206400 in words is "one hundred fifty-one billion, one hundred twenty million, two hundred six thousand, four hundred".