153981648 has 200 divisors, whose sum is σ = 490180680. Its totient is φ = 46448640.

The previous prime is 153981647. The next prime is 153981689. The reversal of 153981648 is 846189351.

It can be written as a sum of positive squares in 4 ways, for example, as 61591104 + 92390544 = 7848^2 + 9612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153981647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 638808 + ... + 639048.

Almost surely, 2^153981648 is an apocalyptic number.

153981648 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 153981648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245090340).

153981648 is an abundant number, since it is smaller than the sum of its proper divisors (336199032).

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

153981648 is a wasteful number, since it uses less digits than its factorization.

153981648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 153981648 is about 12408.9342008087. The cubic root of 153981648 is about 535.9895483222.

The spelling of 153981648 in words is "one hundred fifty-three million, nine hundred eighty-one thousand, six hundred forty-eight".