14977152 has 48 divisors (see below), whose sum is σ = 43101630. Its totient is φ = 4992000.

The previous prime is 14977141. The next prime is 14977159. The reversal of 14977152 is 25177941.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 46656 = 3864^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14977152² = 448630164062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14977159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5349 + ... + 7652.

Almost surely, 2^14977152 is an apocalyptic number.

14977152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14977152 is an abundant number, since it is smaller than the sum of its proper divisors (28124478).

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

14977152 is a wasteful number, since it uses less digits than its factorization.

14977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13021 (or 13006 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 14977152 is about 3870.0325580026. The cubic root of 14977152 is about 246.4959259942.

It can be divided in two parts, 14977 and 152, that added together give a square (15129 = 123²).

The spelling of 14977152 in words is "fourteen million, nine hundred seventy-seven thousand, one hundred fifty-two".