147041414100 has 576 divisors, whose sum is σ = 551642470400. Its totient is φ = 33319382400.

The previous prime is 147041414083. The next prime is 147041414111. The reversal of 147041414100 is 1414140741.

147041414100 is a `hidden beast` number, since 147 + 0 + 4 + 1 + 414 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212794755 + ... + 212795445.

Almost surely, 2^147041414100 is an apocalyptic number.

147041414100 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 147041414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275821235200).

147041414100 is an abundant number, since it is smaller than the sum of its proper divisors (404601056300).

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

147041414100 is a wasteful number, since it uses less digits than its factorization.

147041414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 147041414100 its reverse (1414140741), we get a palindrome (148455554841).

The spelling of 147041414100 in words is "one hundred forty-seven billion, forty-one million, four hundred fourteen thousand, one hundred".