136051272 has 256 divisors, whose sum is σ = 470016000. Its totient is φ = 35582976.

The previous prime is 136051241. The next prime is 136051273. The reversal of 136051272 is 272150631.

It is a happy number.

It is a super-2 number, since 2×136051272² = 37019897225635968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136051273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1722129 + ... + 1722207.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^136051272 is an apocalyptic number.

136051272 is a gapful number since it is divisible by the number (12) 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 136051272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

136051272 is an abundant number, since it is smaller than the sum of its proper divisors (333964728).

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

136051272 is a wasteful number, since it uses less digits than its factorization.

136051272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 136051272 is about 11664.1018514072. The cubic root of 136051272 is about 514.3209348895.

The spelling of 136051272 in words is "one hundred thirty-six million, fifty-one thousand, two hundred seventy-two".