141514000 has 80 divisors (see below), whose sum is σ = 345000240. Its totient is φ = 56140800.

The previous prime is 141513973. The next prime is 141514007. The reversal of 141514000 is 415141.

It can be written as a sum of positive squares in 8 ways, for example, as 2085136 + 139428864 = 1444^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (141514007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345796 + ... + 346204.

It is an arithmetic number, because the mean of its divisors is an integer number (4312503).

Almost surely, 2^141514000 is an apocalyptic number.

141514000 is a gapful number since it is divisible by the number (10) 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 141514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172500120).

141514000 is an abundant number, since it is smaller than the sum of its proper divisors (203486240).

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

141514000 is a wasteful number, since it uses less digits than its factorization.

141514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 141514000 is about 11895.9657027078. The cubic root of 141514000 is about 521.1144736384.

Adding to 141514000 its reverse (415141), we get a palindrome (141929141).

The spelling of 141514000 in words is "one hundred forty-one million, five hundred fourteen thousand".