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136152 = 23323161
BaseRepresentation
bin100001001111011000
320220202200
4201033120
513324102
62530200
71104642
oct411730
9226680
10136152
1193325
1266960
1349c83
1437892
152a51c
hex213d8

136152 has 48 divisors (see below), whose sum is σ = 386880. Its totient is φ = 43200.

The previous prime is 136139. The next prime is 136163. The reversal of 136152 is 251631.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2202 + ... + 2262.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

2136152 is an apocalyptic number.

136152 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 136152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440).

136152 is an abundant number, since it is smaller than the sum of its proper divisors (250728).

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

136152 is a wasteful number, since it uses less digits than its factorization.

136152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 136152 is about 368.9878046765. The cubic root of 136152 is about 51.4447832488. Note that the first 3 decimals are identical.

Adding to 136152 its reverse (251631), we get a palindrome (387783).

The spelling of 136152 in words is "one hundred thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 61 62 72 93 122 124 183 186 244 248 279 366 372 488 549 558 732 744 1098 1116 1464 1891 2196 2232 3782 4392 5673 7564 11346 15128 17019 22692 34038 45384 68076 136152