149145840 has 160 divisors (see below), whose sum is σ = 531662400. Its totient is φ = 38384640.

The previous prime is 149145833. The next prime is 149145851. The reversal of 149145840 is 48541941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 149145795 and 149145804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61450 + ... + 63830.

It is an arithmetic number, because the mean of its divisors is an integer number (3322890).

Almost surely, 2^149145840 is an apocalyptic number.

149145840 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 149145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265831200).

149145840 is an abundant number, since it is smaller than the sum of its proper divisors (382516560).

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

149145840 is a wasteful number, since it uses less digits than its factorization.

149145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 149145840 is about 12212.5279938267. The cubic root of 149145840 is about 530.3188303544.

The spelling of 149145840 in words is "one hundred forty-nine million, one hundred forty-five thousand, eight hundred forty".