141600937401 has 189 divisors, whose sum is σ = 272966785119. Its totient is φ = 73152525600.

The previous prime is 141600937369. The next prime is 141600937403. The reversal of 141600937401 is 104739006141.

The square root of 141600937401 is 376299.

It is a perfect power (a square), and thus also a powerful number.

141600937401 is a `hidden beast` number, since 1 + 4 + 1 + 600 + 9 + 3 + 7 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1560329001 + 140040608400 = 39501^2 + 374220^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 141600937401 - 2⁵ = 141600937369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141600937403) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 782325531 + ... + 782325711.

Almost surely, 2^141600937401 is an apocalyptic number.

141600937401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

141600937401 is the 376299-th square number.

141600937401 is the 188150-th centered octagonal number.

It is an amenable number.

141600937401 is a deficient number, since it is larger than the sum of its proper divisors (131365847718).

141600937401 is an frugal number, since it uses more digits than its factorization.

141600937401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 141600937401 by its sum of digits (36), we get a square (5097633746436 = 2257794²).

The spelling of 141600937401 in words is "one hundred forty-one billion, six hundred million, nine hundred thirty-seven thousand, four hundred one".