149977008 has 100 divisors (see below), whose sum is σ = 448199488. Its totient is φ = 48366720.

The previous prime is 149977001. The next prime is 149977027. The reversal of 149977008 is 800779941.

149977008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149977001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38310 + ... + 42042.

Almost surely, 2^149977008 is an apocalyptic number.

149977008 is a gapful number since it is divisible by the number (18) 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 149977008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224099744).

149977008 is an abundant number, since it is smaller than the sum of its proper divisors (298222480).

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

149977008 is a wasteful number, since it uses less digits than its factorization.

149977008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 149977008 is about 12246.5100334748. The cubic root of 149977008 is about 531.3021358199.

The spelling of 149977008 in words is "one hundred forty-nine million, nine hundred seventy-seven thousand, eight".