152666456832 has 288 divisors, whose sum is σ = 458897295360. Its totient is φ = 50681852928.

The previous prime is 152666456819. The next prime is 152666456837. The reversal of 152666456832 is 238654666251.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (152666456837) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 205472653 + ... + 205473395.

Almost surely, 2^152666456832 is an apocalyptic number.

152666456832 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 152666456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229448647680).

152666456832 is an abundant number, since it is smaller than the sum of its proper divisors (306230838528).

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

152666456832 is an frugal number, since it uses more digits than its factorization.

152666456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1115 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 152666456832 in words is "one hundred fifty-two billion, six hundred sixty-six million, four hundred fifty-six thousand, eight hundred thirty-two".