149268600 has 144 divisors (see below), whose sum is σ = 539939400. Its totient is φ = 36737280.

The previous prime is 149268599. The next prime is 149268629. The reversal of 149268600 is 6862941.

149268600 is a `hidden beast` number, since 1 + 49 + 2 + 6 + 8 + 600 = 666.

It is a super-2 number, since 2×149268600² = 44562229891920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20211 + ... + 26589.

Almost surely, 2^149268600 is an apocalyptic number.

149268600 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 149268600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269969700).

149268600 is an abundant number, since it is smaller than the sum of its proper divisors (390670800).

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

149268600 is a wasteful number, since it uses less digits than its factorization.

149268600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 149268600 is about 12217.5529464783. The cubic root of 149268600 is about 530.4642899624.

The spelling of 149268600 in words is "one hundred forty-nine million, two hundred sixty-eight thousand, six hundred".