149984352 has 96 divisors (see below), whose sum is σ = 499968000. Its totient is φ = 42850944.

The previous prime is 149984339. The next prime is 149984363. The reversal of 149984352 is 253489941.

149984352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 149984298 and 149984307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6352 + ... + 18447.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^149984352 is an apocalyptic number.

149984352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149984352 is an abundant number, since it is smaller than the sum of its proper divisors (349983648).

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

149984352 is a wasteful number, since it uses less digits than its factorization.

149984352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24825 (or 24811 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 149984352 is about 12246.8098703295. The cubic root of 149984352 is about 531.3108078585.

The spelling of 149984352 in words is "one hundred forty-nine million, nine hundred eighty-four thousand, three hundred fifty-two".