149639616 has 224 divisors, whose sum is σ = 512064000. Its totient is φ = 41969664.

The previous prime is 149639599. The next prime is 149639629. The reversal of 149639616 is 616936941.

149639616 is a `hidden beast` number, since 1 + 4 + 9 + 639 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076475 + ... + 1076613.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2^149639616 is an apocalyptic number.

149639616 is a gapful number since it is divisible by the number (16) 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 149639616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032000).

149639616 is an abundant number, since it is smaller than the sum of its proper divisors (362424384).

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

149639616 is a wasteful number, since it uses less digits than its factorization.

149639616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 149639616 is about 12232.7272511080. The cubic root of 149639616 is about 530.9034265305.

The spelling of 149639616 in words is "one hundred forty-nine million, six hundred thirty-nine thousand, six hundred sixteen".