134431413434100 has 72 divisors (see below), whose sum is σ = 432172099493120. Its totient is φ = 35848376915040.

The previous prime is 134431413434047. The next prime is 134431413434113. The reversal of 134431413434100 is 1434314134431.

134431413434100 is a `hidden beast` number, since 1 + 3 + 443 + 141 + 34 + 3 + 41 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24894703492 + ... + 24894708891.

Almost surely, 2^{134431413434100} is an apocalyptic number.

134431413434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134431413434100 is an abundant number, since it is smaller than the sum of its proper divisors (297740686059020).

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

134431413434100 is a wasteful number, since it uses less digits than its factorization.

134431413434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49789412406 (or 49789412393 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 134431413434100 its reverse (1434314134431), we get a palindrome (135865727568531).

The spelling of 134431413434100 in words is "one hundred thirty-four trillion, four hundred thirty-one billion, four hundred thirteen million, four hundred thirty-four thousand, one hundred".