141004800 has 390 divisors, whose sum is σ = 553039938. Its totient is φ = 35389440.

The previous prime is 141004777. The next prime is 141004807. The reversal of 141004800 is 8400141.

141004800 = 96³ + 97³ + ... + 159³.

It can be written as a sum of positive squares in 3 ways, for example, as 21233664 + 119771136 = 4608^2 + 10944^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (141004807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294392 + ... + 8294408.

Almost surely, 2^141004800 is an apocalyptic number.

141004800 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 141004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276519969).

141004800 is an abundant number, since it is smaller than the sum of its proper divisors (412035138).

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

141004800 is an equidigital number, since it uses as much as digits as its factorization.

141004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141004800 is about 11874.5442017789. The cubic root of 141004800 is about 520.4886924600.

Adding to 141004800 its reverse (8400141), we get a palindrome (149404941).

The spelling of 141004800 in words is "one hundred forty-one million, four thousand, eight hundred".