153195223104 has 1344 divisors, whose sum is σ = 616443125760. Its totient is φ = 36373708800.

The previous prime is 153195223067. The next prime is 153195223127. The reversal of 153195223104 is 401322591351.

It is a happy number.

153195223104 is a `hidden beast` number, since 1 + 5 + 319 + 5 + 22 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1169429119 + ... + 1169429249.

It is an arithmetic number, because the mean of its divisors is an integer number (458663040).

Almost surely, 2^153195223104 is an apocalyptic number.

153195223104 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 153195223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308221562880).

153195223104 is an abundant number, since it is smaller than the sum of its proper divisors (463247902656).

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

153195223104 is a wasteful number, since it uses less digits than its factorization.

153195223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 153195223104 in words is "one hundred fifty-three billion, one hundred ninety-five million, two hundred twenty-three thousand, one hundred four".