149745600 has 126 divisors (see below), whose sum is σ = 532282400. Its totient is φ = 39928320.

The previous prime is 149745587. The next prime is 149745601. The reversal of 149745600 is 6547941.

149745600 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 45 + 600 = 666.

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 (149745601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9201 + ... + 19599.

Almost surely, 2^149745600 is an apocalyptic number.

149745600 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 149745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266141200).

149745600 is an abundant number, since it is smaller than the sum of its proper divisors (382536800).

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

149745600 is a wasteful number, since it uses less digits than its factorization.

149745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 149745600 is about 12237.0584700736. The cubic root of 149745600 is about 531.0287364618.

The spelling of 149745600 in words is "one hundred forty-nine million, seven hundred forty-five thousand, six hundred".