148966272 has 384 divisors, whose sum is σ = 556920000. Its totient is φ = 37933056.

The previous prime is 148966247. The next prime is 148966273. The reversal of 148966272 is 272669841.

It is a happy number.

148966272 is a `hidden beast` number, since 14 + 8 + 9 + 6 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148966273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5136754 + ... + 5136782.

Almost surely, 2^148966272 is an apocalyptic number.

148966272 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 148966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278460000).

148966272 is an abundant number, since it is smaller than the sum of its proper divisors (407953728).

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

148966272 is a wasteful number, since it uses less digits than its factorization.

148966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 148966272 is about 12205.1739848312. The cubic root of 148966272 is about 530.1059145157.

The spelling of 148966272 in words is "one hundred forty-eight million, nine hundred sixty-six thousand, two hundred seventy-two".