153808452 has 216 divisors, whose sum is σ = 501935616. Its totient is φ = 39384576.

The previous prime is 153808427. The next prime is 153808517. The reversal of 153808452 is 254808351.

It is a happy number.

It is a super-3 number, since 3×153808452³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689613 + ... + 689835.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^153808452 is an apocalyptic number.

153808452 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 153808452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

153808452 is an abundant number, since it is smaller than the sum of its proper divisors (348127164).

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

153808452 is a wasteful number, since it uses less digits than its factorization.

153808452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 153808452 is about 12401.9535557911. The cubic root of 153808452 is about 535.7885155503.

It can be divided in two parts, 15380 and 8452, that added together give a palindrome (23832).

The spelling of 153808452 in words is "one hundred fifty-three million, eight hundred eight thousand, four hundred fifty-two".