149746272 has 96 divisors (see below), whose sum is σ = 428031072. Its totient is φ = 45563904.

The previous prime is 149746249. The next prime is 149746291. The reversal of 149746272 is 272647941.

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

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, 120438 + ... + 121674.

It is an arithmetic number, because the mean of its divisors is an integer number (4458657).

Almost surely, 2^149746272 is an apocalyptic number.

149746272 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 149746272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214015536).

149746272 is an abundant number, since it is smaller than the sum of its proper divisors (278284800).

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

149746272 is a wasteful number, since it uses less digits than its factorization.

149746272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1352 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 149746272 is about 12237.0859276218. The cubic root of 149746272 is about 531.0295308107.

The spelling of 149746272 in words is "one hundred forty-nine million, seven hundred forty-six thousand, two hundred seventy-two".