151851648 has 128 divisors (see below), whose sum is σ = 457531200. Its totient is φ = 44236800.

The previous prime is 151851647. The next prime is 151851649. The reversal of 151851648 is 846158151.

151851648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151851647) and next prime (151851649).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (151851641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94048 + ... + 95648.

Almost surely, 2^151851648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228765600).

151851648 is an abundant number, since it is smaller than the sum of its proper divisors (305679552).

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

151851648 is a wasteful number, since it uses less digits than its factorization.

151851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1638 counting only the distinct ones).

The product of its digits is 38400, while the sum is 39.

The square root of 151851648 is about 12322.8100691360. The cubic root of 151851648 is about 533.5066492275.

The spelling of 151851648 in words is "one hundred fifty-one million, eight hundred fifty-one thousand, six hundred forty-eight".