149018400 has 144 divisors (see below), whose sum is σ = 539028000. Its totient is φ = 39732480.

The previous prime is 149018393. The next prime is 149018431. The reversal of 149018400 is 4810941.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 18151 + ... + 25049.

It is an arithmetic number, because the mean of its divisors is an integer number (3743250).

Almost surely, 2^149018400 is an apocalyptic number.

149018400 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 149018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269514000).

149018400 is an abundant number, since it is smaller than the sum of its proper divisors (390009600).

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

149018400 is a wasteful number, since it uses less digits than its factorization.

149018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 149018400 is about 12207.3092858336. The cubic root of 149018400 is about 530.1677409012.

The spelling of 149018400 in words is "one hundred forty-nine million, eighteen thousand, four hundred".