149214240 has 288 divisors, whose sum is σ = 591566976. Its totient is φ = 33546240.

The previous prime is 149214223. The next prime is 149214311. The reversal of 149214240 is 42412941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1138975 + ... + 1139105.

It is an arithmetic number, because the mean of its divisors is an integer number (2054052).

Almost surely, 2^149214240 is an apocalyptic number.

149214240 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 149214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295783488).

149214240 is an abundant number, since it is smaller than the sum of its proper divisors (442352736).

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

149214240 is a wasteful number, since it uses less digits than its factorization.

149214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 149214240 is about 12215.3280758234. The cubic root of 149214240 is about 530.3998880722.

The spelling of 149214240 in words is "one hundred forty-nine million, two hundred fourteen thousand, two hundred forty".