149006844 has 144 divisors (see below), whose sum is σ = 462137760. Its totient is φ = 41368320.

The previous prime is 149006831. The next prime is 149006917. The reversal of 149006844 is 448600941.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 149006799 and 149006808.

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, 195424 + ... + 196184.

It is an arithmetic number, because the mean of its divisors is an integer number (3209290).

Almost surely, 2^149006844 is an apocalyptic number.

149006844 is a gapful number since it is divisible by the number (14) 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 149006844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231068880).

149006844 is an abundant number, since it is smaller than the sum of its proper divisors (313130916).

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

149006844 is a wasteful number, since it uses less digits than its factorization.

149006844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 149006844 is about 12206.8359536778. The cubic root of 149006844 is about 530.1540361578.

The spelling of 149006844 in words is "one hundred forty-nine million, six thousand, eight hundred forty-four".