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136372356 = 223310711801
BaseRepresentation
bin10000010000011…
…10000010000100
3100111121102201000
420020032002010
5234402403411
621310533300
73244101021
oct1010160204
9314542630
10136372356
116aa8462a
1239807230
132233a103
141417c548
15be8b956
hex820e084

136372356 has 48 divisors (see below), whose sum is σ = 356892480. Its totient is φ = 45028800.

The previous prime is 136372319. The next prime is 136372361. The reversal of 136372356 is 653273631.

136372356 is a `hidden beast` number, since 13 + 637 + 2 + 3 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 136372356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5656 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (7435260).

Almost surely, 2136372356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136372356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178446240).

136372356 is an abundant number, since it is smaller than the sum of its proper divisors (220520124).

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

136372356 is a wasteful number, since it uses less digits than its factorization.

136372356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11921 (or 11913 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 136372356 is about 11677.8575089783. The cubic root of 136372356 is about 514.7252199289.

The spelling of 136372356 in words is "one hundred thirty-six million, three hundred seventy-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 11556 11801 23602 35403 47204 70806 106209 141612 212418 318627 424836 637254 1262707 1274508 2525414 3788121 5050828 7576242 11364363 15152484 22728726 34093089 45457452 68186178 136372356