101541745152 has 640 divisors, whose sum is σ = 326148768000. Its totient is φ = 31520047104.

The previous prime is 101541745147. The next prime is 101541745199. The reversal of 101541745152 is 251547145101.

101541745152 is a `hidden beast` number, since 1 + 0 + 154 + 1 + 7 + 451 + 52 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721046499 + ... + 1721046557.

It is an arithmetic number, because the mean of its divisors is an integer number (509607450).

Almost surely, 2^101541745152 is an apocalyptic number.

101541745152 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 101541745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163074384000).

101541745152 is an abundant number, since it is smaller than the sum of its proper divisors (224607022848).

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

101541745152 is an frugal number, since it uses more digits than its factorization.

101541745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 101541745152 in words is "one hundred one billion, five hundred forty-one million, seven hundred forty-five thousand, one hundred fifty-two".