149025600 has 252 divisors, whose sum is σ = 540471360. Its totient is φ = 38937600.

The previous prime is 149025599. The next prime is 149025619. The reversal of 149025600 is 6520941.

149025600 is a `hidden beast` number, since 14 + 90 + 2 + 560 + 0 = 666.

It is a congruent number.

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, 1137535 + ... + 1137665.

Almost surely, 2^149025600 is an apocalyptic number.

149025600 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 149025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270235680).

149025600 is an abundant number, since it is smaller than the sum of its proper divisors (391445760).

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

149025600 is a wasteful number, since it uses less digits than its factorization.

149025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149025600 is about 12207.6041875546. The cubic root of 149025600 is about 530.1762793239.

It can be divided in two parts, 14902 and 5600, that added together give a palindrome (20502).

The spelling of 149025600 in words is "one hundred forty-nine million, twenty-five thousand, six hundred".