151240320 has 576 divisors, whose sum is σ = 677214720. Its totient is φ = 30412800.

The previous prime is 151240319. The next prime is 151240321. The reversal of 151240320 is 23042151.

It is an interprime number because it is at equal distance from previous prime (151240319) and next prime (151240321).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 151240293 and 151240302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151240321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4878705 + ... + 4878735.

It is an arithmetic number, because the mean of its divisors is an integer number (1175720).

Almost surely, 2^151240320 is an apocalyptic number.

151240320 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 151240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338607360).

151240320 is an abundant number, since it is smaller than the sum of its proper divisors (525974400).

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

151240320 is a wasteful number, since it uses less digits than its factorization.

151240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 151240320 is about 12297.9803219878. The cubic root of 151240320 is about 532.7897517170.

Adding to 151240320 its reverse (23042151), we get a palindrome (174282471).

It can be divided in two parts, 151 and 240320, that added together give a triangular number (240471 = T₆₉₃).

The spelling of 151240320 in words is "one hundred fifty-one million, two hundred forty thousand, three hundred twenty".