149464224 has 192 divisors, whose sum is σ = 536820480. Its totient is φ = 39398400.

The previous prime is 149464223. The next prime is 149464243. The reversal of 149464224 is 422464941.

It is a happy number.

149464224 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 642 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149464223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77674 + ... + 79574.

It is an arithmetic number, because the mean of its divisors is an integer number (2795940).

Almost surely, 2^149464224 is an apocalyptic number.

149464224 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 149464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268410240).

149464224 is an abundant number, since it is smaller than the sum of its proper divisors (387356256).

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

149464224 is a wasteful number, since it uses less digits than its factorization.

149464224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1926 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 149464224 is about 12225.5561836671. The cubic root of 149464224 is about 530.6959221713.

The spelling of 149464224 in words is "one hundred forty-nine million, four hundred sixty-four thousand, two hundred twenty-four".