149655600 has 300 divisors, whose sum is σ = 558148800. Its totient is φ = 38361600.

The previous prime is 149655599. The next prime is 149655619. The reversal of 149655600 is 6556941.

149655600 is a `hidden beast` number, since 1 + 4 + 96 + 5 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×149655600² = 44793597222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 1004326 + ... + 1004474.

It is an arithmetic number, because the mean of its divisors is an integer number (1860496).

Almost surely, 2^149655600 is an apocalyptic number.

149655600 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 149655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279074400).

149655600 is an abundant number, since it is smaller than the sum of its proper divisors (408493200).

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

149655600 is a wasteful number, since it uses less digits than its factorization.

149655600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 149655600 is about 12233.3805630333. The cubic root of 149655600 is about 530.9223289630.

The spelling of 149655600 in words is "one hundred forty-nine million, six hundred fifty-five thousand, six hundred".