147141972 has 18 divisors (see below), whose sum is σ = 371942298. Its totient is φ = 49047312.

The previous prime is 147141961. The next prime is 147141979. The reversal of 147141972 is 279141741.

147141972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 134652816 + 12489156 = 11604^2 + 3534^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4087277 = 147141972 / (1 + 4 + 7 + 1 + 4 + 1 + 9 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147141979) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2043603 + ... + 2043674.

It is an arithmetic number, because the mean of its divisors is an integer number (20663461).

Almost surely, 2^147141972 is an apocalyptic number.

147141972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147141972 is an abundant number, since it is smaller than the sum of its proper divisors (224800326).

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

147141972 is a wasteful number, since it uses less digits than its factorization.

147141972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087287 (or 4087282 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 147141972 is about 12130.2090666237. The cubic root of 147141972 is about 527.9330579732.

The spelling of 147141972 in words is "one hundred forty-seven million, one hundred forty-one thousand, nine hundred seventy-two".