136525126100 has 144 divisors (see below), whose sum is σ = 328368733056. Its totient is φ = 48853056000.

The previous prime is 136525126093. The next prime is 136525126121. The reversal of 136525126100 is 1621525631.

It is a super-2 number, since 2×136525126100² (a number of 23 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, 50997962 + ... + 51000638.

It is an arithmetic number, because the mean of its divisors is an integer number (2280338424).

Almost surely, 2^136525126100 is an apocalyptic number.

136525126100 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 136525126100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164184366528).

136525126100 is an abundant number, since it is smaller than the sum of its proper divisors (191843606956).

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

136525126100 is a wasteful number, since it uses less digits than its factorization.

136525126100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 136525126100 in words is "one hundred thirty-six billion, five hundred twenty-five million, one hundred twenty-six thousand, one hundred".