149601088 has 112 divisors (see below), whose sum is σ = 387120384. Its totient is φ = 55664640.

The previous prime is 149601031. The next prime is 149601119. The reversal of 149601088 is 880106941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 98253 + ... + 99763.

It is an arithmetic number, because the mean of its divisors is an integer number (3456432).

Almost surely, 2^149601088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193560192).

149601088 is an abundant number, since it is smaller than the sum of its proper divisors (237519296).

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

149601088 is a wasteful number, since it uses less digits than its factorization.

149601088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 149601088 is about 12231.1523578116. The cubic root of 149601088 is about 530.8578583770.

The spelling of 149601088 in words is "one hundred forty-nine million, six hundred one thousand, eighty-eight".