153261514848 has 192 divisors, whose sum is σ = 455826716352. Its totient is φ = 44763217920.

The previous prime is 153261514843. The next prime is 153261514873. The reversal of 153261514848 is 848415162351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 153261514797 and 153261514806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153261514843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1852740 + ... + 1933692.

It is an arithmetic number, because the mean of its divisors is an integer number (2374097481).

Almost surely, 2^153261514848 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 153261514848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227913358176).

153261514848 is an abundant number, since it is smaller than the sum of its proper divisors (302565201504).

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

153261514848 is a wasteful number, since it uses less digits than its factorization.

153261514848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81057 (or 81049 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The spelling of 153261514848 in words is "one hundred fifty-three billion, two hundred sixty-one million, five hundred fourteen thousand, eight hundred forty-eight".