153838301552 has 120 divisors (see below), whose sum is σ = 344943542736. Its totient is φ = 66199031808.

The previous prime is 153838301537. The next prime is 153838301557. The reversal of 153838301552 is 255103838351.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153838301557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4902938 + ... + 4934214.

Almost surely, 2^153838301552 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 153838301552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172471771368).

153838301552 is an abundant number, since it is smaller than the sum of its proper divisors (191105241184).

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

153838301552 is a wasteful number, since it uses less digits than its factorization.

153838301552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31435 (or 31416 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 153838301552 in words is "one hundred fifty-three billion, eight hundred thirty-eight million, three hundred one thousand, five hundred fifty-two".