151221456 has 90 divisors (see below), whose sum is σ = 446810130. Its totient is φ = 47737728.

The previous prime is 151221439. The next prime is 151221461. The reversal of 151221456 is 654122151.

151221456 is a `hidden beast` number, since 1 + 512 + 2 + 145 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146023056 + 5198400 = 12084^2 + 2280^2 .

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 17 ways as a sum of consecutive naturals, for example, 50530 + ... + 53438.

It is an arithmetic number, because the mean of its divisors is an integer number (4964557).

Almost surely, 2^151221456 is an apocalyptic number.

151221456 is a gapful number since it is divisible by the number (16) 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 151221456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223405065).

151221456 is an abundant number, since it is smaller than the sum of its proper divisors (295588674).

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

151221456 is a wasteful number, since it uses less digits than its factorization.

151221456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2933 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 151221456 is about 12297.2133428676. The cubic root of 151221456 is about 532.7675994149.

It can be divided in two parts, 15122145 and 6, that added together give a palindrome (15122151).

The spelling of 151221456 in words is "one hundred fifty-one million, two hundred twenty-one thousand, four hundred fifty-six".