149135616 has 162 divisors, whose sum is σ = 500576622. Its totient is φ = 42577920.

The previous prime is 149135593. The next prime is 149135629. The reversal of 149135616 is 616531941.

149135616 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 35 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146313216 + 2822400 = 12096^2 + 1680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112236 + ... + 113556.

Almost surely, 2^149135616 is an apocalyptic number.

149135616 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 149135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250288311).

149135616 is an abundant number, since it is smaller than the sum of its proper divisors (351441006).

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

149135616 is a wasteful number, since it uses less digits than its factorization.

149135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1333 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 149135616 is about 12212.1094000996. The cubic root of 149135616 is about 530.3067122298.

The spelling of 149135616 in words is "one hundred forty-nine million, one hundred thirty-five thousand, six hundred sixteen".