153130824 has 336 divisors, whose sum is σ = 558216960. Its totient is φ = 38491200.

The previous prime is 153130811. The next prime is 153130829. The reversal of 153130824 is 428031351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153130829) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4939689 + ... + 4939719.

It is an arithmetic number, because the mean of its divisors is an integer number (1661360).

Almost surely, 2^153130824 is an apocalyptic number.

153130824 is a gapful number since it is divisible by the number (14) 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 153130824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279108480).

153130824 is an abundant number, since it is smaller than the sum of its proper divisors (405086136).

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

153130824 is a wasteful number, since it uses less digits than its factorization.

153130824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 153130824 is about 12374.6039936638. The cubic root of 153130824 is about 535.0005228981. Note that the first 3 decimals are identical.

The spelling of 153130824 in words is "one hundred fifty-three million, one hundred thirty thousand, eight hundred twenty-four".