149611200 has 168 divisors, whose sum is σ = 498896640. Its totient is φ = 39244800.

The previous prime is 149611193. The next prime is 149611211. The reversal of 149611200 is 2116941.

149611200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149611200² = 44767022330880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340581 + ... + 341019.

Almost surely, 2^149611200 is an apocalyptic number.

149611200 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 149611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249448320).

149611200 is an abundant number, since it is smaller than the sum of its proper divisors (349285440).

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

149611200 is a wasteful number, since it uses less digits than its factorization.

149611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 149611200 is about 12231.5657215256. The cubic root of 149611200 is about 530.8698188821.

It can be divided in two parts, 14961 and 1200, that added together give a palindrome (16161).

The spelling of 149611200 in words is "one hundred forty-nine million, six hundred eleven thousand, two hundred".