152160199107840 has 4032 divisors, whose sum is σ = 725467222609920. Its totient is φ = 29589429288960.

The previous prime is 152160199107827. The next prime is 152160199107859. The reversal of 152160199107840 is 48701991061251.

152160199107840 is a `hidden beast` number, since 1 + 5 + 21 + 601 + 9 + 9 + 1 + 0 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 423844565581 + ... + 423844565939.

It is an arithmetic number, because the mean of its divisors is an integer number (179927386560).

Almost surely, 2^{152160199107840} is an apocalyptic number.

152160199107840 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 152160199107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362733611304960).

152160199107840 is an abundant number, since it is smaller than the sum of its proper divisors (573307023502080).

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

152160199107840 is a wasteful number, since it uses less digits than its factorization.

152160199107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 152160199107840 in words is "one hundred fifty-two trillion, one hundred sixty billion, one hundred ninety-nine million, one hundred seven thousand, eight hundred forty".