153934725672 has 640 divisors, whose sum is σ = 553598115840. Its totient is φ = 38871912960.

The previous prime is 153934725661. The next prime is 153934725709. The reversal of 153934725672 is 276527439351.

153934725672 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 3 + 4 + 72 + 567 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 195596463 + ... + 195597249.

It is an arithmetic number, because the mean of its divisors is an integer number (864997056).

Almost surely, 2^153934725672 is an apocalyptic number.

153934725672 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 153934725672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276799057920).

153934725672 is an abundant number, since it is smaller than the sum of its proper divisors (399663390168).

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

153934725672 is a wasteful number, since it uses less digits than its factorization.

153934725672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 950 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 153934725672 in words is "one hundred fifty-three billion, nine hundred thirty-four million, seven hundred twenty-five thousand, six hundred seventy-two".