149034240 has 216 divisors, whose sum is σ = 546692328. Its totient is φ = 37355520.

The previous prime is 149034239. The next prime is 149034241. The reversal of 149034240 is 42430941.

It is an interprime number because it is at equal distance from previous prime (149034239) and next prime (149034241).

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 147476736 = 1248^2 + 12144^2 .

It is a super-2 number, since 2×149034240² = 44422409384755200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149034241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195460 + ... + 196220.

It is an arithmetic number, because the mean of its divisors is an integer number (2530983).

Almost surely, 2^149034240 is an apocalyptic number.

149034240 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 149034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273346164).

149034240 is an abundant number, since it is smaller than the sum of its proper divisors (397658088).

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

149034240 is a wasteful number, since it uses less digits than its factorization.

149034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 149034240 is about 12207.9580602163. The cubic root of 149034240 is about 530.1865250681.

The spelling of 149034240 in words is "one hundred forty-nine million, thirty-four thousand, two hundred forty".