153200162851632 has 320 divisors, whose sum is σ = 488401740288000. Its totient is φ = 45672581348352.

The previous prime is 153200162851609. The next prime is 153200162851699. The reversal of 153200162851632 is 236158261002351.

It is a happy number.

153200162851632 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 0 + 0 + 1 + 6 + 2 + 8 + 5 + 1 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48119869 + ... + 51204707.

It is an arithmetic number, because the mean of its divisors is an integer number (1526255438400).

Almost surely, 2^{153200162851632} is an apocalyptic number.

153200162851632 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 153200162851632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244200870144000).

153200162851632 is an abundant number, since it is smaller than the sum of its proper divisors (335201577436368).

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

153200162851632 is a wasteful number, since it uses less digits than its factorization.

153200162851632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085145 (or 3085133 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 153200162851632 in words is "one hundred fifty-three trillion, two hundred billion, one hundred sixty-two million, eight hundred fifty-one thousand, six hundred thirty-two".