152729648547840 has 1920 divisors, whose sum is σ = 703062406126080. Its totient is φ = 30822871597056.

The previous prime is 152729648547829. The next prime is 152729648547877. The reversal of 152729648547840 is 48745846927251.

152729648547840 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 29 + 6 + 485 + 47 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1735973932 + ... + 1736061908.

It is an arithmetic number, because the mean of its divisors is an integer number (366178336524).

Almost surely, 2^{152729648547840} is an apocalyptic number.

152729648547840 is a gapful number since it is divisible by the number (10) 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 152729648547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351531203063040).

152729648547840 is an abundant number, since it is smaller than the sum of its proper divisors (550332757578240).

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

152729648547840 is a wasteful number, since it uses less digits than its factorization.

152729648547840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88059 (or 88030 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 152729648547840 in words is "one hundred fifty-two trillion, seven hundred twenty-nine billion, six hundred forty-eight million, five hundred forty-seven thousand, eight hundred forty".