149553684 has 108 divisors (see below), whose sum is σ = 443488500. Its totient is φ = 42368256.

The previous prime is 149553673. The next prime is 149553737. The reversal of 149553684 is 486355941.

149553684 is a `hidden beast` number, since 14 + 9 + 553 + 6 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20958084 + 128595600 = 4578^2 + 11340^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262552 + ... + 263120.

It is an arithmetic number, because the mean of its divisors is an integer number (4106375).

Almost surely, 2^149553684 is an apocalyptic number.

149553684 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 149553684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221744250).

149553684 is an abundant number, since it is smaller than the sum of its proper divisors (293934816).

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

149553684 is a wasteful number, since it uses less digits than its factorization.

149553684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 730 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 149553684 is about 12229.2143656083. The cubic root of 149553684 is about 530.8017815915.

The spelling of 149553684 in words is "one hundred forty-nine million, five hundred fifty-three thousand, six hundred eighty-four".