141900064200 has 288 divisors, whose sum is σ = 506431771560. Its totient is φ = 35483443200.

The previous prime is 141900064193. The next prime is 141900064211. The reversal of 141900064200 is 2460009141.

141900064200 is a `hidden beast` number, since 1 + 4 + 19 + 0 + 0 + 0 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 36912399876 + 104987664324 = 192126^2 + 324018^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8467830 + ... + 8484570.

Almost surely, 2^141900064200 is an apocalyptic number.

141900064200 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 141900064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253215885780).

141900064200 is an abundant number, since it is smaller than the sum of its proper divisors (364531707360).

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

141900064200 is a wasteful number, since it uses less digits than its factorization.

141900064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17057 (or 17045 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 141900064200 in words is "one hundred forty-one billion, nine hundred million, sixty-four thousand, two hundred".