153072025223040 has 2048 divisors, whose sum is σ = 742412832768000. Its totient is φ = 28822867476480.

The previous prime is 153072025223023. The next prime is 153072025223083. The reversal of 153072025223040 is 40322520270351.

153072025223040 is a `hidden beast` number, since 1 + 5 + 30 + 72 + 0 + 2 + 522 + 30 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 153072025222986 and 153072025223004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 581323092 + ... + 581586348.

It is an arithmetic number, because the mean of its divisors is an integer number (362506266000).

Almost surely, 2^{153072025223040} is an apocalyptic number.

153072025223040 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 153072025223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371206416384000).

153072025223040 is an abundant number, since it is smaller than the sum of its proper divisors (589340807544960).

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

153072025223040 is a wasteful number, since it uses less digits than its factorization.

153072025223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263345 (or 263327 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 153072025223040 its reverse (40322520270351), we get a palindrome (193394545493391).

The spelling of 153072025223040 in words is "one hundred fifty-three trillion, seventy-two billion, twenty-five million, two hundred twenty-three thousand, forty".