152227676160 has 576 divisors, whose sum is σ = 619076908800. Its totient is φ = 34766585856.

The previous prime is 152227676149. The next prime is 152227676173. The reversal of 152227676160 is 61676722251.

152227676160 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 27 + 6 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123862426 + ... + 123863654.

It is an arithmetic number, because the mean of its divisors is an integer number (1074786300).

Almost surely, 2^152227676160 is an apocalyptic number.

152227676160 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 152227676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309538454400).

152227676160 is an abundant number, since it is smaller than the sum of its proper divisors (466849232640).

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

152227676160 is an frugal number, since it uses more digits than its factorization.

152227676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 152227676160 in words is "one hundred fifty-two billion, two hundred twenty-seven million, six hundred seventy-six thousand, one hundred sixty".