149709800 has 48 divisors (see below), whose sum is σ = 351709260. Its totient is φ = 59258880.

The previous prime is 149709767. The next prime is 149709817. The reversal of 149709800 is 8907941.

149709800 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 49589764 + 100120036 = 7042^2 + 10006^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15542 + ... + 23258.

Almost surely, 2^149709800 is an apocalyptic number.

149709800 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 149709800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175854630).

149709800 is an abundant number, since it is smaller than the sum of its proper divisors (201999460).

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

149709800 is a wasteful number, since it uses less digits than its factorization.

149709800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7830 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 149709800 is about 12235.5956128012. The cubic root of 149709800 is about 530.9864150314.

The spelling of 149709800 in words is "one hundred forty-nine million, seven hundred nine thousand, eight hundred".