151052245344 has 1728 divisors, whose sum is σ = 644150707200. Its totient is φ = 32517365760.

The previous prime is 151052245327. The next prime is 151052245373. The reversal of 151052245344 is 443542250151.

151052245344 is a `hidden beast` number, since 1 + 51 + 0 + 52 + 24 + 534 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 151052245299 and 151052245308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1385800362 + ... + 1385800470.

It is an arithmetic number, because the mean of its divisors is an integer number (372772400).

Almost surely, 2^151052245344 is an apocalyptic number.

151052245344 is a gapful number since it is divisible by the number (14) 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 151052245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322075353600).

151052245344 is an abundant number, since it is smaller than the sum of its proper divisors (493098461856).

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

151052245344 is a wasteful number, since it uses less digits than its factorization.

151052245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 151052245344 its reverse (443542250151), we get a palindrome (594594495495).

The spelling of 151052245344 in words is "one hundred fifty-one billion, fifty-two million, two hundred forty-five thousand, three hundred forty-four".