135525432103100 has 144 divisors (see below), whose sum is σ = 325290103392576. Its totient is φ = 48685059072000.

The previous prime is 135525432103099. The next prime is 135525432103121. The reversal of 135525432103100 is 1301234525531.

It is a happy number.

It is a super-2 number, since 2×135525432103100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019220620 + ... + 1019353580.

Almost surely, 2^{135525432103100} is an apocalyptic number.

135525432103100 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 135525432103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162645051696288).

135525432103100 is an abundant number, since it is smaller than the sum of its proper divisors (189764671289476).

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

135525432103100 is a wasteful number, since it uses less digits than its factorization.

135525432103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154216 (or 154209 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 135525432103100 its reverse (1301234525531), we get a palindrome (136826666628631).

The spelling of 135525432103100 in words is "one hundred thirty-five trillion, five hundred twenty-five billion, four hundred thirty-two million, one hundred three thousand, one hundred".