152166409600 has 288 divisors, whose sum is σ = 399726759600. Its totient is φ = 57227489280.

The previous prime is 152166409583. The next prime is 152166409609. The reversal of 152166409600 is 6904661251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152166409609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181365981 + ... + 181366819.

Almost surely, 2^152166409600 is an apocalyptic number.

152166409600 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 152166409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199863379800).

152166409600 is an abundant number, since it is smaller than the sum of its proper divisors (247560350000).

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

152166409600 is a wasteful number, since it uses less digits than its factorization.

152166409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 152166409600 in words is "one hundred fifty-two billion, one hundred sixty-six million, four hundred nine thousand, six hundred".