149371200 has 504 divisors, whose sum is σ = 619085376. Its totient is φ = 33792000.

The previous prime is 149371181. The next prime is 149371253. The reversal of 149371200 is 2173941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3643180 + ... + 3643220.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2^149371200 is an apocalyptic number.

149371200 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 149371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309542688).

149371200 is an abundant number, since it is smaller than the sum of its proper divisors (469714176).

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

149371200 is a wasteful number, since it uses less digits than its factorization.

149371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 149371200 is about 12221.7511020312. The cubic root of 149371200 is about 530.5858006062.

The spelling of 149371200 in words is "one hundred forty-nine million, three hundred seventy-one thousand, two hundred".