136463748100 has 243 divisors, whose sum is σ = 328628129431. Its totient is φ = 49175859200.

The previous prime is 136463748079. The next prime is 136463748103. The reversal of 136463748100 is 1847364631.

The square root of 136463748100 is 369410.

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

It can be written as a sum of positive squares in 40 ways, for example, as 132005782276 + 4457965824 = 363326^2 + 66768^2 .

It is a super-2 number, since 2×136463748100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136463748103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2574787674 + ... + 2574787726.

Almost surely, 2^136463748100 is an apocalyptic number.

136463748100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136463748100 is the 369410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136463748100

136463748100 is an abundant number, since it is smaller than the sum of its proper divisors (192164381331).

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

136463748100 is a wasteful number, since it uses less digits than its factorization.

136463748100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 136463748100 in words is "one hundred thirty-six billion, four hundred sixty-three million, seven hundred forty-eight thousand, one hundred".