149083200 has 672 divisors, whose sum is σ = 680313600. Its totient is φ = 30965760.

The previous prime is 149083169. The next prime is 149083213. The reversal of 149083200 is 2380941.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5140786 + ... + 5140814.

Almost surely, 2^149083200 is an apocalyptic number.

149083200 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 149083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340156800).

149083200 is an abundant number, since it is smaller than the sum of its proper divisors (531230400).

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

149083200 is a wasteful number, since it uses less digits than its factorization.

149083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 149083200 is about 12209.9631449075. The cubic root of 149083200 is about 530.2445768067.

The spelling of 149083200 in words is "one hundred forty-nine million, eighty-three thousand, two hundred".