153042554952 has 192 divisors, whose sum is σ = 495311760000. Its totient is φ = 43656907392.

The previous prime is 153042554887. The next prime is 153042554971. The reversal of 153042554952 is 259455240351.

153042554952 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 4 + 2 + 554 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 153042554898 and 153042554907.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6836674 + ... + 6859022.

It is an arithmetic number, because the mean of its divisors is an integer number (2579748750).

Almost surely, 2^153042554952 is an apocalyptic number.

153042554952 is a gapful number since it is divisible by the number (12) 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 153042554952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247655880000).

153042554952 is an abundant number, since it is smaller than the sum of its proper divisors (342269205048).

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

153042554952 is a wasteful number, since it uses less digits than its factorization.

153042554952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23025 (or 23008 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 153042554952 in words is "one hundred fifty-three billion, forty-two million, five hundred fifty-four thousand, nine hundred fifty-two".