151315920 has 180 divisors, whose sum is σ = 591273540. Its totient is φ = 34578432.

The previous prime is 151315909. The next prime is 151315937. The reversal of 151315920 is 29513151.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 46294416 = 10248^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 33136 + ... + 37424.

It is an arithmetic number, because the mean of its divisors is an integer number (3284853).

Almost surely, 2^151315920 is an apocalyptic number.

151315920 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 151315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295636770).

151315920 is an abundant number, since it is smaller than the sum of its proper divisors (439957620).

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

151315920 is a wasteful number, since it uses less digits than its factorization.

151315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 151315920 is about 12301.0536134105. The cubic root of 151315920 is about 532.8785115480.

The spelling of 151315920 in words is "one hundred fifty-one million, three hundred fifteen thousand, nine hundred twenty".