147153972096 has 192 divisors, whose sum is σ = 427000429440. Its totient is φ = 48642048000.

The previous prime is 147153972089. The next prime is 147153972107. The reversal of 147153972096 is 690279351741.

147153972096 is a `hidden beast` number, since 1 + 47 + 1 + 5 + 397 + 209 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75423921 + ... + 75425871.

It is an arithmetic number, because the mean of its divisors is an integer number (2223960570).

Almost surely, 2^147153972096 is an apocalyptic number.

147153972096 is a gapful number since it is divisible by the number (16) 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 147153972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213500214720).

147153972096 is an abundant number, since it is smaller than the sum of its proper divisors (279846457344).

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

147153972096 is a wasteful number, since it uses less digits than its factorization.

147153972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 147153972096 in words is "one hundred forty-seven billion, one hundred fifty-three million, nine hundred seventy-two thousand, ninety-six".