149776506 has 128 divisors (see below), whose sum is σ = 399513600. Its totient is φ = 41057280.

The previous prime is 149776427. The next prime is 149776519. The reversal of 149776506 is 605677941.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259290 + ... + 259866.

It is an arithmetic number, because the mean of its divisors is an integer number (3121200).

Almost surely, 2^149776506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149776506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199756800).

149776506 is an abundant number, since it is smaller than the sum of its proper divisors (249737094).

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

149776506 is a wasteful number, since it uses less digits than its factorization.

149776506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 149776506 is about 12238.3212084011. The cubic root of 149776506 is about 531.0652669623.

The spelling of 149776506 in words is "one hundred forty-nine million, seven hundred seventy-six thousand, five hundred six".