149257800 has 144 divisors (see below), whose sum is σ = 506836980. Its totient is φ = 39360000.

The previous prime is 149257793. The next prime is 149257811. The reversal of 149257800 is 8752941.

149257800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 79602084 + 69655716 = 8922^2 + 8346^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181390 + ... + 182210.

Almost surely, 2^149257800 is an apocalyptic number.

149257800 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 149257800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253418490).

149257800 is an abundant number, since it is smaller than the sum of its proper divisors (357579180).

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

149257800 is a wasteful number, since it uses less digits than its factorization.

149257800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 149257800 is about 12217.1109514484. The cubic root of 149257800 is about 530.4514961296.

The spelling of 149257800 in words is "one hundred forty-nine million, two hundred fifty-seven thousand, eight hundred".