151227648 has 432 divisors, whose sum is σ = 562476096. Its totient is φ = 39813120.

The previous prime is 151227647. The next prime is 151227649. The reversal of 151227648 is 846722151.

151227648 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 2 + 7 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (151227647) and next prime (151227649).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×151227648² = 45739603039223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151227647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8895736 + ... + 8895752.

It is an arithmetic number, because the mean of its divisors is an integer number (1302028).

Almost surely, 2^151227648 is an apocalyptic number.

151227648 is a gapful number since it is divisible by the number (18) 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 151227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281238048).

151227648 is an abundant number, since it is smaller than the sum of its proper divisors (411248448).

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

151227648 is a wasteful number, since it uses less digits than its factorization.

151227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 151227648 is about 12297.4651046466. The cubic root of 151227648 is about 532.7748709843.

Adding to 151227648 its reverse (846722151), we get a palindrome (997949799).

The spelling of 151227648 in words is "one hundred fifty-one million, two hundred twenty-seven thousand, six hundred forty-eight".