149439840 has 288 divisors, whose sum is σ = 540546048. Its totient is φ = 34636800.

The previous prime is 149439821. The next prime is 149439847. The reversal of 149439840 is 48934941.

149439840 = 381² + 382² + ... + 795².

It is a junction number, because it is equal to n+sod(n) for n = 149439792 and 149439801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149439847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800439 + ... + 1800521.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 2^149439840 is an apocalyptic number.

149439840 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 149439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024).

149439840 is an abundant number, since it is smaller than the sum of its proper divisors (391106208).

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

149439840 is a wasteful number, since it uses less digits than its factorization.

149439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 149439840 is about 12224.5588877472. The cubic root of 149439840 is about 530.6670608764.

The spelling of 149439840 in words is "one hundred forty-nine million, four hundred thirty-nine thousand, eight hundred forty".