149865600 has 192 divisors, whose sum is σ = 503137440. Its totient is φ = 39198720.

The previous prime is 149865581. The next prime is 149865629. The reversal of 149865600 is 6568941.

149865600 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643084 + ... + 643316.

Almost surely, 2^149865600 is an apocalyptic number.

149865600 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 149865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251568720).

149865600 is an abundant number, since it is smaller than the sum of its proper divisors (353271840).

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

149865600 is a wasteful number, since it uses less digits than its factorization.

149865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 149865600 is about 12241.9606272852. The cubic root of 149865600 is about 531.1705468259.

The spelling of 149865600 in words is "one hundred forty-nine million, eight hundred sixty-five thousand, six hundred".