152854953552 has 800 divisors, whose sum is σ = 554187744000. Its totient is φ = 40512503808.

The previous prime is 152854953547. The next prime is 152854953553. The reversal of 152854953552 is 255359458251.

152854953552 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 54 + 9 + 535 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152854953553) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 853938199 + ... + 853938377.

It is an arithmetic number, because the mean of its divisors is an integer number (692734680).

Almost surely, 2^152854953552 is an apocalyptic number.

152854953552 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 152854953552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277093872000).

152854953552 is an abundant number, since it is smaller than the sum of its proper divisors (401332790448).

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

152854953552 is a wasteful number, since it uses less digits than its factorization.

152854953552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its digits is 10800000, while the sum is 54.

The spelling of 152854953552 in words is "one hundred fifty-two billion, eight hundred fifty-four million, nine hundred fifty-three thousand, five hundred fifty-two".