135137112100 has 27 divisors (see below), whose sum is σ = 293255510611. Its totient is φ = 54053374400.

The previous prime is 135137112037. The next prime is 135137112101. The reversal of 135137112100 is 1211731531.

The square root of 135137112100 is 367610.

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

It can be written as a sum of positive squares in 4 ways, for example, as 77732785636 + 57404326464 = 278806^2 + 239592^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135137112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3657720 + ... + 3694480.

Almost surely, 2^135137112100 is an apocalyptic number.

135137112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135137112100 is the 367610-th square number.

It is an amenable number.

135137112100 is an abundant number, since it is smaller than the sum of its proper divisors (158118398511).

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

135137112100 is an frugal number, since it uses more digits than its factorization.

135137112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73536 (or 36768 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

Multiplying 135137112100 by its sum of digits (25), we get a square (3378427802500 = 1838050²).

135137112100 divided by its sum of digits (25) gives a square (5405484484 = 73522²).

Adding to 135137112100 its reverse (1211731531), we get a palindrome (136348843631).

The spelling of 135137112100 in words is "one hundred thirty-five billion, one hundred thirty-seven million, one hundred twelve thousand, one hundred".