141312000 has 240 divisors, whose sum is σ = 490718592. Its totient is φ = 36044800.

The previous prime is 141311993. The next prime is 141312001. The reversal of 141312000 is 213141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (141312001) 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, 6143989 + ... + 6144011.

Almost surely, 2^141312000 is an apocalyptic number.

141312000 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 141312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245359296).

141312000 is an abundant number, since it is smaller than the sum of its proper divisors (349406592).

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

141312000 is an frugal number, since it uses more digits than its factorization.

141312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 141312000 is about 11887.4723974443. The cubic root of 141312000 is about 520.8664057221.

Adding to 141312000 its reverse (213141), we get a palindrome (141525141).

The spelling of 141312000 in words is "one hundred forty-one million, three hundred twelve thousand".