151313220 has 72 divisors (see below), whose sum is σ = 460376280. Its totient is φ = 40227840.

The previous prime is 151313219. The next prime is 151313237. The reversal of 151313220 is 22313151.

151313220 is a `hidden beast` number, since 1 + 513 + 132 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9036036 + 142277184 = 3006^2 + 11928^2 .

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 = 151313193 and 151313202.

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 23 ways as a sum of consecutive naturals, for example, 68940 + ... + 71100.

It is an arithmetic number, because the mean of its divisors is an integer number (6394115).

Almost surely, 2^151313220 is an apocalyptic number.

151313220 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 151313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230188140).

151313220 is an abundant number, since it is smaller than the sum of its proper divisors (309063060).

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

151313220 is a wasteful number, since it uses less digits than its factorization.

151313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 151313220 is about 12300.9438662243. The cubic root of 151313220 is about 532.8753420631.

Adding to 151313220 its reverse (22313151), we get a palindrome (173626371).

The spelling of 151313220 in words is "one hundred fifty-one million, three hundred thirteen thousand, two hundred twenty".