149628600 has 288 divisors, whose sum is σ = 568974000. Its totient is φ = 36115200.

The previous prime is 149628541. The next prime is 149628601. The reversal of 149628600 is 6826941.

149628600 is a `hidden beast` number, since 1 + 49 + 6 + 2 + 8 + 600 = 666.

149628600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149628601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653286 + ... + 653514.

Almost surely, 2^149628600 is an apocalyptic number.

149628600 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 149628600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284487000).

149628600 is an abundant number, since it is smaller than the sum of its proper divisors (419345400).

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

149628600 is a wasteful number, since it uses less digits than its factorization.

149628600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

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

The square root of 149628600 is about 12232.2769752814. The cubic root of 149628600 is about 530.8903983948.

The spelling of 149628600 in words is "one hundred forty-nine million, six hundred twenty-eight thousand, six hundred".