153024223225120 has 144 divisors (see below), whose sum is σ = 391710914462952. Its totient is φ = 56466206883840.

The previous prime is 153024223225067. The next prime is 153024223225151. The reversal of 153024223225120 is 21522322420351.

It can be written as a sum of positive squares in 12 ways, for example, as 216749838096 + 152807473387024 = 465564^2 + 12361532^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41861280 + ... + 45369760.

Almost surely, 2^{153024223225120} is an apocalyptic number.

153024223225120 is a gapful number since it is divisible by the number (10) 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 153024223225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195855457231476).

153024223225120 is an abundant number, since it is smaller than the sum of its proper divisors (238686691237832).

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

153024223225120 is a wasteful number, since it uses less digits than its factorization.

153024223225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510135 (or 3510114 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 153024223225120 its reverse (21522322420351), we get a palindrome (174546545645471).

The spelling of 153024223225120 in words is "one hundred fifty-three trillion, twenty-four billion, two hundred twenty-three million, two hundred twenty-five thousand, one hundred twenty".