149205600 has 432 divisors, whose sum is σ = 592274592. Its totient is φ = 35143680.

The previous prime is 149205559. The next prime is 149205643. The reversal of 149205600 is 6502941.

149205600 is a `hidden beast` number, since 14 + 92 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×149205600² = 44524622142720000, which contains 22 as substring.

It is a zygodrome in base 6.

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 71 ways as a sum of consecutive naturals, for example, 2815174 + ... + 2815226.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 2^149205600 is an apocalyptic number.

149205600 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 149205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296137296).

149205600 is an abundant number, since it is smaller than the sum of its proper divisors (443068992).

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

149205600 is a wasteful number, since it uses less digits than its factorization.

149205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149205600 is about 12214.9744166740. The cubic root of 149205600 is about 530.3896505696.

The spelling of 149205600 in words is "one hundred forty-nine million, two hundred five thousand, six hundred".