13736740404100 has 54 divisors (see below), whose sum is σ = 34675457575290. Its totient is φ = 4709739565440.

The previous prime is 13736740404091. The next prime is 13736740404109. The reversal of 13736740404100 is 140404763731.

It is an interprime number because it is at equal distance from previous prime (13736740404091) and next prime (13736740404109).

It can be written as a sum of positive squares in 3 ways, for example, as 1566187172676 + 12170553231424 = 1251474^2 + 3488632^2 .

It is not an unprimeable number, because it can be changed into a prime (13736740404109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1401703305 + ... + 1401713104.

Almost surely, 2^{13736740404100} is an apocalyptic number.

13736740404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13736740404100 is an abundant number, since it is smaller than the sum of its proper divisors (20938717171190).

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

13736740404100 is a wasteful number, since it uses less digits than its factorization.

13736740404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803416437 (or 2803416423 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 13736740404100 in words is "thirteen trillion, seven hundred thirty-six billion, seven hundred forty million, four hundred four thousand, one hundred".