136672128 has 96 divisors (see below), whose sum is σ = 406949400. Its totient is φ = 43975680.

The previous prime is 136672121. The next prime is 136672139. The reversal of 136672128 is 821276631.

136672128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136672092 and 136672101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136672121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31363 + ... + 35453.

Almost surely, 2^136672128 is an apocalyptic number.

136672128 is a gapful number since it is divisible by the number (18) 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 136672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203474700).

136672128 is an abundant number, since it is smaller than the sum of its proper divisors (270277272).

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

136672128 is a wasteful number, since it uses less digits than its factorization.

136672128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4125 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 136672128 is about 11690.6855230991. The cubic root of 136672128 is about 515.1020980851.

The spelling of 136672128 in words is "one hundred thirty-six million, six hundred seventy-two thousand, one hundred twenty-eight".