152663132160 has 1536 divisors, whose sum is σ = 692897587200. Its totient is φ = 30965760000.

The previous prime is 152663132101. The next prime is 152663132197. The reversal of 152663132160 is 61231366251.

152663132160 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 631 + 3 + 2 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1511516110 + ... + 1511516210.

It is an arithmetic number, because the mean of its divisors is an integer number (451105200).

Almost surely, 2^152663132160 is an apocalyptic number.

152663132160 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 152663132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346448793600).

152663132160 is an abundant number, since it is smaller than the sum of its proper divisors (540234455040).

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

152663132160 is a wasteful number, since it uses less digits than its factorization.

152663132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 152663132160 in words is "one hundred fifty-two billion, six hundred sixty-three million, one hundred thirty-two thousand, one hundred sixty".