151413220 has 96 divisors (see below), whose sum is σ = 388862208. Its totient is φ = 48340992.

The previous prime is 151413187. The next prime is 151413221. The reversal of 151413220 is 22314151.

151413220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (151413221) 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 31 ways as a sum of consecutive naturals, for example, 268659 + ... + 269221.

It is an arithmetic number, because the mean of its divisors is an integer number (4050648).

Almost surely, 2^151413220 is an apocalyptic number.

151413220 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 151413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194431104).

151413220 is an abundant number, since it is smaller than the sum of its proper divisors (237448988).

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

151413220 is a wasteful number, since it uses less digits than its factorization.

151413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 151413220 is about 12305.0079236057. The cubic root of 151413220 is about 532.9927052378.

Adding to 151413220 its reverse (22314151), we get a palindrome (173727371).

The spelling of 151413220 in words is "one hundred fifty-one million, four hundred thirteen thousand, two hundred twenty".