149608032 has 96 divisors (see below), whose sum is σ = 452616192. Its totient is φ = 42384384.

The previous prime is 149608027. The next prime is 149608049. The reversal of 149608032 is 230806941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 149607984 and 149608002.

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, 84468 + ... + 86220.

It is an arithmetic number, because the mean of its divisors is an integer number (4714752).

Almost surely, 2^149608032 is an apocalyptic number.

149608032 is a gapful number since it is divisible by the number (12) 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 149608032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226308096).

149608032 is an abundant number, since it is smaller than the sum of its proper divisors (303008160).

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

149608032 is a wasteful number, since it uses less digits than its factorization.

149608032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 149608032 is about 12231.4362198394. The cubic root of 149608032 is about 530.8660718198.

The spelling of 149608032 in words is "one hundred forty-nine million, six hundred eight thousand, thirty-two".