180001152 has 192 divisors, whose sum is σ = 550236960. Its totient is φ = 56401920.

The previous prime is 180001109. The next prime is 180001229. The reversal of 180001152 is 251100081.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1747533 + ... + 1747635.

Almost surely, 2^180001152 is an apocalyptic number.

180001152 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 180001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275118480).

180001152 is an abundant number, since it is smaller than the sum of its proper divisors (370235808).

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

180001152 is a wasteful number, since it uses less digits than its factorization.

180001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 180001152 is about 13416.4507974352. The cubic root of 180001152 is about 564.6228218522.

The spelling of 180001152 in words is "one hundred eighty million, one thousand, one hundred fifty-two".