149262672 has 80 divisors (see below), whose sum is σ = 417348288. Its totient is φ = 45696000.

The previous prime is 149262671. The next prime is 149262683. The reversal of 149262672 is 276262941.

149262672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 149262672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149262671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156148 + ... + 157100.

Almost surely, 2^149262672 is an apocalyptic number.

149262672 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 149262672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208674144).

149262672 is an abundant number, since it is smaller than the sum of its proper divisors (268085616).

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

149262672 is a wasteful number, since it uses less digits than its factorization.

149262672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 149262672 is about 12217.3103422971. The cubic root of 149262672 is about 530.4572676461.

The spelling of 149262672 in words is "one hundred forty-nine million, two hundred sixty-two thousand, six hundred seventy-two".