136100096 has 72 divisors (see below), whose sum is σ = 313909344. Its totient is φ = 58204160.

The previous prime is 136100093. The next prime is 136100119. The reversal of 136100096 is 690001631.

136100096 = T₄₅₈ + T₄₅₉ + ... + T₉₆₉.

It is a super-2 number, since 2×136100096² = 37046472262418432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136100093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46451 + ... + 49293.

It is an arithmetic number, because the mean of its divisors is an integer number (4359852).

Almost surely, 2^136100096 is an apocalyptic number.

136100096 is a gapful number since it is divisible by the number (16) 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 136100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156954672).

136100096 is an abundant number, since it is smaller than the sum of its proper divisors (177809248).

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

136100096 is a wasteful number, since it uses less digits than its factorization.

136100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 136100096 is about 11666.1945809248. The cubic root of 136100096 is about 514.3824514087.

The spelling of 136100096 in words is "one hundred thirty-six million, one hundred thousand, ninety-six".