151948896 has 144 divisors (see below), whose sum is σ = 446164992. Its totient is φ = 45239040.

The previous prime is 151948891. The next prime is 151948897. The reversal of 151948896 is 698849151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151948891) 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 23 ways as a sum of consecutive naturals, for example, 1196385 + ... + 1196511.

It is an arithmetic number, because the mean of its divisors is an integer number (3098368).

Almost surely, 2^151948896 is an apocalyptic number.

151948896 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 151948896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223082496).

151948896 is an abundant number, since it is smaller than the sum of its proper divisors (294216096).

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

151948896 is a wasteful number, since it uses less digits than its factorization.

151948896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its digits is 622080, while the sum is 51.

The square root of 151948896 is about 12326.7552908298. The cubic root of 151948896 is about 533.6205133921.

It can be divided in two parts, 15194 and 8896, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 151948896 in words is "one hundred fifty-one million, nine hundred forty-eight thousand, eight hundred ninety-six".