149677440 has 256 divisors, whose sum is σ = 549331200. Its totient is φ = 34283520.

The previous prime is 149677433. The next prime is 149677457. The reversal of 149677440 is 44776941.

It is a junction number, because it is equal to n+sod(n) for n = 149677392 and 149677401.

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, 401094 + ... + 401466.

It is an arithmetic number, because the mean of its divisors is an integer number (2145825).

Almost surely, 2^149677440 is an apocalyptic number.

149677440 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 149677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274665600).

149677440 is an abundant number, since it is smaller than the sum of its proper divisors (399653760).

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

149677440 is a wasteful number, since it uses less digits than its factorization.

149677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 149677440 is about 12234.2731700743. The cubic root of 149677440 is about 530.9481544353.

The spelling of 149677440 in words is "one hundred forty-nine million, six hundred seventy-seven thousand, four hundred forty".